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Finding the Fourth Proportional to 3,744.04, 5,616.18 and 1,435

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Solution

The fourth proportional to 3,744.04, 5,616.18 and 1,435 is: 2,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.04 : 5,616.18 = 1,435 : x
  2. Step 2: Convert to fraction form
    3,744.04/5,616.18 = 1,435/x
  3. Step 3: Cross multiply
    3,744.04x = 5,616.18 × 1,435
  4. Step 4: Simplify right side
    3,744.04x = 8,059,218.30
  5. Step 5: Solve for x
    x = 8,059,218.30/3,744.04
  6. Step 6: Final answer
    x = 2,152.55

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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.