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Finding the Fourth Proportional to 3,627.64, 5,441.16 and 1,030.24

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Solution

The fourth proportional to 3,627.64, 5,441.16 and 1,030.24 is: 1,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.64 : 5,441.16 = 1,030.24 : x
  2. Step 2: Convert to fraction form
    3,627.64/5,441.16 = 1,030.24/x
  3. Step 3: Cross multiply
    3,627.64x = 5,441.16 × 1,030.24
  4. Step 4: Simplify right side
    3,627.64x = 5,605,700.68
  5. Step 5: Solve for x
    x = 5,605,700.68/3,627.64
  6. Step 6: Final answer
    x = 1,545.27

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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.