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Finding the Fourth Proportional to 4,103.57, 6,155.28 and 1,025.57

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Solution

The fourth proportional to 4,103.57, 6,155.28 and 1,025.57 is: 1,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.57 : 6,155.28 = 1,025.57 : x
  2. Step 2: Convert to fraction form
    4,103.57/6,155.28 = 1,025.57/x
  3. Step 3: Cross multiply
    4,103.57x = 6,155.28 × 1,025.57
  4. Step 4: Simplify right side
    4,103.57x = 6,312,639.73
  5. Step 5: Solve for x
    x = 6,312,639.73/4,103.57
  6. Step 6: Final answer
    x = 1,538.33

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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.