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Finding the Fourth Proportional to 3,429.74, 5,145.03 and 3,242.90

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Solution

The fourth proportional to 3,429.74, 5,145.03 and 3,242.90 is: 4,864.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.74 : 5,145.03 = 3,242.90 : x
  2. Step 2: Convert to fraction form
    3,429.74/5,145.03 = 3,242.90/x
  3. Step 3: Cross multiply
    3,429.74x = 5,145.03 × 3,242.90
  4. Step 4: Simplify right side
    3,429.74x = 16,684,830.65
  5. Step 5: Solve for x
    x = 16,684,830.65/3,429.74
  6. Step 6: Final answer
    x = 4,864.75

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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.