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Finding the Fourth Proportional to 5,256.08, 7,881.42 and 1,557.85

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Solution

The fourth proportional to 5,256.08, 7,881.42 and 1,557.85 is: 2,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.08 : 7,881.42 = 1,557.85 : x
  2. Step 2: Convert to fraction form
    5,256.08/7,881.42 = 1,557.85/x
  3. Step 3: Cross multiply
    5,256.08x = 7,881.42 × 1,557.85
  4. Step 4: Simplify right side
    5,256.08x = 12,278,070.15
  5. Step 5: Solve for x
    x = 12,278,070.15/5,256.08
  6. Step 6: Final answer
    x = 2,335.97

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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.