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Finding the Fourth Proportional to 4,649.84, 6,968.64 and 4,031

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Solution

The fourth proportional to 4,649.84, 6,968.64 and 4,031 is: 6,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.84 : 6,968.64 = 4,031 : x
  2. Step 2: Convert to fraction form
    4,649.84/6,968.64 = 4,031/x
  3. Step 3: Cross multiply
    4,649.84x = 6,968.64 × 4,031
  4. Step 4: Simplify right side
    4,649.84x = 28,090,587.84
  5. Step 5: Solve for x
    x = 28,090,587.84/4,649.84
  6. Step 6: Final answer
    x = 6,041.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.