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Finding the Fourth Proportional to 4,100,649.84, 5,609,718.05 and 4,083,378.22

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Solution

The fourth proportional to 4,100,649.84, 5,609,718.05 and 4,083,378.22 is: 5,586,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,649.84 : 5,609,718.05 = 4,083,378.22 : x
  2. Step 2: Convert to fraction form
    4,100,649.84/5,609,718.05 = 4,083,378.22/x
  3. Step 3: Cross multiply
    4,100,649.84x = 5,609,718.05 × 4,083,378.22
  4. Step 4: Simplify right side
    4,100,649.84x = 22,906,600,485,293.98
  5. Step 5: Solve for x
    x = 22,906,600,485,293.98/4,100,649.84
  6. Step 6: Final answer
    x = 5,586,090.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.