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Finding the Fourth Proportional to 3,598.26, 5,395.40 and 1,257.64

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Solution

The fourth proportional to 3,598.26, 5,395.40 and 1,257.64 is: 1,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.26 : 5,395.40 = 1,257.64 : x
  2. Step 2: Convert to fraction form
    3,598.26/5,395.40 = 1,257.64/x
  3. Step 3: Cross multiply
    3,598.26x = 5,395.40 × 1,257.64
  4. Step 4: Simplify right side
    3,598.26x = 6,785,461.61
  5. Step 5: Solve for x
    x = 6,785,461.61/3,598.26
  6. Step 6: Final answer
    x = 1,885.76

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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.