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Finding the Fourth Proportional to 4,710.49, 6,497.61 and 3,117.13

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Solution

The fourth proportional to 4,710.49, 6,497.61 and 3,117.13 is: 4,299.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.49 : 6,497.61 = 3,117.13 : x
  2. Step 2: Convert to fraction form
    4,710.49/6,497.61 = 3,117.13/x
  3. Step 3: Cross multiply
    4,710.49x = 6,497.61 × 3,117.13
  4. Step 4: Simplify right side
    4,710.49x = 20,253,895.06
  5. Step 5: Solve for x
    x = 20,253,895.06/4,710.49
  6. Step 6: Final answer
    x = 4,299.74

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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.