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Finding the Fourth Proportional to 4,966.58, 6,859.94 and 3,713.20

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Solution

The fourth proportional to 4,966.58, 6,859.94 and 3,713.20 is: 5,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.58 : 6,859.94 = 3,713.20 : x
  2. Step 2: Convert to fraction form
    4,966.58/6,859.94 = 3,713.20/x
  3. Step 3: Cross multiply
    4,966.58x = 6,859.94 × 3,713.20
  4. Step 4: Simplify right side
    4,966.58x = 25,472,294.91
  5. Step 5: Solve for x
    x = 25,472,294.91/4,966.58
  6. Step 6: Final answer
    x = 5,128.74

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