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Finding the Fourth Proportional to 6,476.48, 8,938.34 and 3,643.98

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Solution

The fourth proportional to 6,476.48, 8,938.34 and 3,643.98 is: 5,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.48 : 8,938.34 = 3,643.98 : x
  2. Step 2: Convert to fraction form
    6,476.48/8,938.34 = 3,643.98/x
  3. Step 3: Cross multiply
    6,476.48x = 8,938.34 × 3,643.98
  4. Step 4: Simplify right side
    6,476.48x = 32,571,132.19
  5. Step 5: Solve for x
    x = 32,571,132.19/6,476.48
  6. Step 6: Final answer
    x = 5,029.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.