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Finding the Fourth Proportional to 4,136.40, 5,708.52 and 2,565

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Solution

The fourth proportional to 4,136.40, 5,708.52 and 2,565 is: 3,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.40 : 5,708.52 = 2,565 : x
  2. Step 2: Convert to fraction form
    4,136.40/5,708.52 = 2,565/x
  3. Step 3: Cross multiply
    4,136.40x = 5,708.52 × 2,565
  4. Step 4: Simplify right side
    4,136.40x = 14,642,353.80
  5. Step 5: Solve for x
    x = 14,642,353.80/4,136.40
  6. Step 6: Final answer
    x = 3,539.88

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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.