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Finding the Fourth Proportional to 3,275.48, 4,909.52 and 1,423.80

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Solution

The fourth proportional to 3,275.48, 4,909.52 and 1,423.80 is: 2,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.48 : 4,909.52 = 1,423.80 : x
  2. Step 2: Convert to fraction form
    3,275.48/4,909.52 = 1,423.80/x
  3. Step 3: Cross multiply
    3,275.48x = 4,909.52 × 1,423.80
  4. Step 4: Simplify right side
    3,275.48x = 6,990,174.58
  5. Step 5: Solve for x
    x = 6,990,174.58/3,275.48
  6. Step 6: Final answer
    x = 2,134.09

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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.