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Finding the Fourth Proportional to 3,795.20, 5,687.40 and 1,484

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Solution

The fourth proportional to 3,795.20, 5,687.40 and 1,484 is: 2,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.20 : 5,687.40 = 1,484 : x
  2. Step 2: Convert to fraction form
    3,795.20/5,687.40 = 1,484/x
  3. Step 3: Cross multiply
    3,795.20x = 5,687.40 × 1,484
  4. Step 4: Simplify right side
    3,795.20x = 8,440,101.60
  5. Step 5: Solve for x
    x = 8,440,101.60/3,795.20
  6. Step 6: Final answer
    x = 2,223.89

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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.