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Finding the Fourth Proportional to 5,645.82, 8,463.87 and 3,045.78

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Solution

The fourth proportional to 5,645.82, 8,463.87 and 3,045.78 is: 4,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.82 : 8,463.87 = 3,045.78 : x
  2. Step 2: Convert to fraction form
    5,645.82/8,463.87 = 3,045.78/x
  3. Step 3: Cross multiply
    5,645.82x = 8,463.87 × 3,045.78
  4. Step 4: Simplify right side
    5,645.82x = 25,779,085.97
  5. Step 5: Solve for x
    x = 25,779,085.97/5,645.82
  6. Step 6: Final answer
    x = 4,566.05

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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.