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Finding the Fourth Proportional to 3,765.32, 5,644.90 and 1,423.99

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Solution

The fourth proportional to 3,765.32, 5,644.90 and 1,423.99 is: 2,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.32 : 5,644.90 = 1,423.99 : x
  2. Step 2: Convert to fraction form
    3,765.32/5,644.90 = 1,423.99/x
  3. Step 3: Cross multiply
    3,765.32x = 5,644.90 × 1,423.99
  4. Step 4: Simplify right side
    3,765.32x = 8,038,281.15
  5. Step 5: Solve for x
    x = 8,038,281.15/3,765.32
  6. Step 6: Final answer
    x = 2,134.82

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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.