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Finding the Fourth Proportional to 5,648.60, 8,469.82 and 4,486.07

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Solution

The fourth proportional to 5,648.60, 8,469.82 and 4,486.07 is: 6,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.60 : 8,469.82 = 4,486.07 : x
  2. Step 2: Convert to fraction form
    5,648.60/8,469.82 = 4,486.07/x
  3. Step 3: Cross multiply
    5,648.60x = 8,469.82 × 4,486.07
  4. Step 4: Simplify right side
    5,648.60x = 37,996,151.84
  5. Step 5: Solve for x
    x = 37,996,151.84/5,648.60
  6. Step 6: Final answer
    x = 6,726.66

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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.