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Finding the Fourth Proportional to 5,883.60, 8,123.19 and 3,647.88

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Solution

The fourth proportional to 5,883.60, 8,123.19 and 3,647.88 is: 5,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.60 : 8,123.19 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    5,883.60/8,123.19 = 3,647.88/x
  3. Step 3: Cross multiply
    5,883.60x = 8,123.19 × 3,647.88
  4. Step 4: Simplify right side
    5,883.60x = 29,632,422.34
  5. Step 5: Solve for x
    x = 29,632,422.34/5,883.60
  6. Step 6: Final answer
    x = 5,036.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.