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Finding the Fourth Proportional to 3,538.36, 5,306.17 and 1,457.63

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Solution

The fourth proportional to 3,538.36, 5,306.17 and 1,457.63 is: 2,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.36 : 5,306.17 = 1,457.63 : x
  2. Step 2: Convert to fraction form
    3,538.36/5,306.17 = 1,457.63/x
  3. Step 3: Cross multiply
    3,538.36x = 5,306.17 × 1,457.63
  4. Step 4: Simplify right side
    3,538.36x = 7,734,432.58
  5. Step 5: Solve for x
    x = 7,734,432.58/3,538.36
  6. Step 6: Final answer
    x = 2,185.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.