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Finding the Fourth Proportional to 4,702.17, 6,489.03 and 2,712.72

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Solution

The fourth proportional to 4,702.17, 6,489.03 and 2,712.72 is: 3,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.17 : 6,489.03 = 2,712.72 : x
  2. Step 2: Convert to fraction form
    4,702.17/6,489.03 = 2,712.72/x
  3. Step 3: Cross multiply
    4,702.17x = 6,489.03 × 2,712.72
  4. Step 4: Simplify right side
    4,702.17x = 17,602,921.46
  5. Step 5: Solve for x
    x = 17,602,921.46/4,702.17
  6. Step 6: Final answer
    x = 3,743.57

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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.