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Finding the Fourth Proportional to 4,325.64, 6,478.05 and 2,471.13

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Solution

The fourth proportional to 4,325.64, 6,478.05 and 2,471.13 is: 3,700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.64 : 6,478.05 = 2,471.13 : x
  2. Step 2: Convert to fraction form
    4,325.64/6,478.05 = 2,471.13/x
  3. Step 3: Cross multiply
    4,325.64x = 6,478.05 × 2,471.13
  4. Step 4: Simplify right side
    4,325.64x = 16,008,103.70
  5. Step 5: Solve for x
    x = 16,008,103.70/4,325.64
  6. Step 6: Final answer
    x = 3,700.75

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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.