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Finding the Fourth Proportional to 3,597.17, 5,395.78 and 1,257.16

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Solution

The fourth proportional to 3,597.17, 5,395.78 and 1,257.16 is: 1,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.17 : 5,395.78 = 1,257.16 : x
  2. Step 2: Convert to fraction form
    3,597.17/5,395.78 = 1,257.16/x
  3. Step 3: Cross multiply
    3,597.17x = 5,395.78 × 1,257.16
  4. Step 4: Simplify right side
    3,597.17x = 6,783,358.78
  5. Step 5: Solve for x
    x = 6,783,358.78/3,597.17
  6. Step 6: Final answer
    x = 1,885.75

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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.