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Finding the Fourth Proportional to 5,641.75, 8,462.49 and 2,354.77

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Solution

The fourth proportional to 5,641.75, 8,462.49 and 2,354.77 is: 3,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.75 : 8,462.49 = 2,354.77 : x
  2. Step 2: Convert to fraction form
    5,641.75/8,462.49 = 2,354.77/x
  3. Step 3: Cross multiply
    5,641.75x = 8,462.49 × 2,354.77
  4. Step 4: Simplify right side
    5,641.75x = 19,927,217.58
  5. Step 5: Solve for x
    x = 19,927,217.58/5,641.75
  6. Step 6: Final answer
    x = 3,532.10

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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.