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Finding the Fourth Proportional to 5,641.04, 8,462.37 and 1,745.78

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Solution

The fourth proportional to 5,641.04, 8,462.37 and 1,745.78 is: 2,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.04 : 8,462.37 = 1,745.78 : x
  2. Step 2: Convert to fraction form
    5,641.04/8,462.37 = 1,745.78/x
  3. Step 3: Cross multiply
    5,641.04x = 8,462.37 × 1,745.78
  4. Step 4: Simplify right side
    5,641.04x = 14,773,436.30
  5. Step 5: Solve for x
    x = 14,773,436.30/5,641.04
  6. Step 6: Final answer
    x = 2,618.92

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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.