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Finding the Fourth Proportional to 5,663.40, 8,491.46 and 2,374.80

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Solution

The fourth proportional to 5,663.40, 8,491.46 and 2,374.80 is: 3,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.40 : 8,491.46 = 2,374.80 : x
  2. Step 2: Convert to fraction form
    5,663.40/8,491.46 = 2,374.80/x
  3. Step 3: Cross multiply
    5,663.40x = 8,491.46 × 2,374.80
  4. Step 4: Simplify right side
    5,663.40x = 20,165,507.33
  5. Step 5: Solve for x
    x = 20,165,507.33/5,663.40
  6. Step 6: Final answer
    x = 3,560.67

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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.