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Finding the Fourth Proportional to 4,471.63, 6,171.15 and 2,583.30

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Solution

The fourth proportional to 4,471.63, 6,171.15 and 2,583.30 is: 3,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.63 : 6,171.15 = 2,583.30 : x
  2. Step 2: Convert to fraction form
    4,471.63/6,171.15 = 2,583.30/x
  3. Step 3: Cross multiply
    4,471.63x = 6,171.15 × 2,583.30
  4. Step 4: Simplify right side
    4,471.63x = 15,941,931.80
  5. Step 5: Solve for x
    x = 15,941,931.80/4,471.63
  6. Step 6: Final answer
    x = 3,565.13

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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.