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Finding the Fourth Proportional to 4,702.19, 6,489.73 and 2,712.32

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Solution

The fourth proportional to 4,702.19, 6,489.73 and 2,712.32 is: 3,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.19 : 6,489.73 = 2,712.32 : x
  2. Step 2: Convert to fraction form
    4,702.19/6,489.73 = 2,712.32/x
  3. Step 3: Cross multiply
    4,702.19x = 6,489.73 × 2,712.32
  4. Step 4: Simplify right side
    4,702.19x = 17,602,244.09
  5. Step 5: Solve for x
    x = 17,602,244.09/4,702.19
  6. Step 6: Final answer
    x = 3,743.42

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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.