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Finding the Fourth Proportional to 5,845.24, 8,767.14 and 2,557.72

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Solution

The fourth proportional to 5,845.24, 8,767.14 and 2,557.72 is: 3,836.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.24 : 8,767.14 = 2,557.72 : x
  2. Step 2: Convert to fraction form
    5,845.24/8,767.14 = 2,557.72/x
  3. Step 3: Cross multiply
    5,845.24x = 8,767.14 × 2,557.72
  4. Step 4: Simplify right side
    5,845.24x = 22,423,889.32
  5. Step 5: Solve for x
    x = 22,423,889.32/5,845.24
  6. Step 6: Final answer
    x = 3,836.26

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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.