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Finding the Fourth Proportional to 4,702.44, 6,489.96 and 2,686.36

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Solution

The fourth proportional to 4,702.44, 6,489.96 and 2,686.36 is: 3,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.44 : 6,489.96 = 2,686.36 : x
  2. Step 2: Convert to fraction form
    4,702.44/6,489.96 = 2,686.36/x
  3. Step 3: Cross multiply
    4,702.44x = 6,489.96 × 2,686.36
  4. Step 4: Simplify right side
    4,702.44x = 17,434,368.95
  5. Step 5: Solve for x
    x = 17,434,368.95/4,702.44
  6. Step 6: Final answer
    x = 3,707.52

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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.