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Finding the Fourth Proportional to 4,702.13, 6,489.63 and 2,712.30

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Solution

The fourth proportional to 4,702.13, 6,489.63 and 2,712.30 is: 3,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.13 : 6,489.63 = 2,712.30 : x
  2. Step 2: Convert to fraction form
    4,702.13/6,489.63 = 2,712.30/x
  3. Step 3: Cross multiply
    4,702.13x = 6,489.63 × 2,712.30
  4. Step 4: Simplify right side
    4,702.13x = 17,601,830.23
  5. Step 5: Solve for x
    x = 17,601,830.23/4,702.13
  6. Step 6: Final answer
    x = 3,743.37

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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.