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Finding the Fourth Proportional to 5,465.12, 7,541.64 and 3,227.71

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Solution

The fourth proportional to 5,465.12, 7,541.64 and 3,227.71 is: 4,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.12 : 7,541.64 = 3,227.71 : x
  2. Step 2: Convert to fraction form
    5,465.12/7,541.64 = 3,227.71/x
  3. Step 3: Cross multiply
    5,465.12x = 7,541.64 × 3,227.71
  4. Step 4: Simplify right side
    5,465.12x = 24,342,210.71
  5. Step 5: Solve for x
    x = 24,342,210.71/5,465.12
  6. Step 6: Final answer
    x = 4,454.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.