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Finding the Fourth Proportional to 3,597.28, 5,397.21 and 1,257.63

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Solution

The fourth proportional to 3,597.28, 5,397.21 and 1,257.63 is: 1,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.28 : 5,397.21 = 1,257.63 : x
  2. Step 2: Convert to fraction form
    3,597.28/5,397.21 = 1,257.63/x
  3. Step 3: Cross multiply
    3,597.28x = 5,397.21 × 1,257.63
  4. Step 4: Simplify right side
    3,597.28x = 6,787,666.23
  5. Step 5: Solve for x
    x = 6,787,666.23/3,597.28
  6. Step 6: Final answer
    x = 1,886.89

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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.