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Finding the Fourth Proportional to 5,641.85, 8,463.75 and 2,357.24

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Solution

The fourth proportional to 5,641.85, 8,463.75 and 2,357.24 is: 3,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.85 : 8,463.75 = 2,357.24 : x
  2. Step 2: Convert to fraction form
    5,641.85/8,463.75 = 2,357.24/x
  3. Step 3: Cross multiply
    5,641.85x = 8,463.75 × 2,357.24
  4. Step 4: Simplify right side
    5,641.85x = 19,951,111.21
  5. Step 5: Solve for x
    x = 19,951,111.21/5,641.85
  6. Step 6: Final answer
    x = 3,536.27

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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.