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Finding the Fourth Proportional to 3,627.41, 5,442.02 and 1,030.35

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Solution

The fourth proportional to 3,627.41, 5,442.02 and 1,030.35 is: 1,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.41 : 5,442.02 = 1,030.35 : x
  2. Step 2: Convert to fraction form
    3,627.41/5,442.02 = 1,030.35/x
  3. Step 3: Cross multiply
    3,627.41x = 5,442.02 × 1,030.35
  4. Step 4: Simplify right side
    3,627.41x = 5,607,185.31
  5. Step 5: Solve for x
    x = 5,607,185.31/3,627.41
  6. Step 6: Final answer
    x = 1,545.78

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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.