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Finding the Fourth Proportional to 5,471.64, 7,545.81 and 4,634.10

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Solution

The fourth proportional to 5,471.64, 7,545.81 and 4,634.10 is: 6,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.64 : 7,545.81 = 4,634.10 : x
  2. Step 2: Convert to fraction form
    5,471.64/7,545.81 = 4,634.10/x
  3. Step 3: Cross multiply
    5,471.64x = 7,545.81 × 4,634.10
  4. Step 4: Simplify right side
    5,471.64x = 34,968,038.12
  5. Step 5: Solve for x
    x = 34,968,038.12/5,471.64
  6. Step 6: Final answer
    x = 6,390.78

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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.