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Finding the Fourth Proportional to 3,482.68, 5,220.35 and 1,142.07

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Solution

The fourth proportional to 3,482.68, 5,220.35 and 1,142.07 is: 1,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.68 : 5,220.35 = 1,142.07 : x
  2. Step 2: Convert to fraction form
    3,482.68/5,220.35 = 1,142.07/x
  3. Step 3: Cross multiply
    3,482.68x = 5,220.35 × 1,142.07
  4. Step 4: Simplify right side
    3,482.68x = 5,962,023.27
  5. Step 5: Solve for x
    x = 5,962,023.27/3,482.68
  6. Step 6: Final answer
    x = 1,711.91

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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.