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Finding the Fourth Proportional to 5,471.10, 8,208 and 1,575.81

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Solution

The fourth proportional to 5,471.10, 8,208 and 1,575.81 is: 2,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.10 : 8,208 = 1,575.81 : x
  2. Step 2: Convert to fraction form
    5,471.10/8,208 = 1,575.81/x
  3. Step 3: Cross multiply
    5,471.10x = 8,208 × 1,575.81
  4. Step 4: Simplify right side
    5,471.10x = 12,934,248.48
  5. Step 5: Solve for x
    x = 12,934,248.48/5,471.10
  6. Step 6: Final answer
    x = 2,364.10

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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.