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Finding the Fourth Proportional to 3,483.48, 5,223.28 and 1,142.86

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Solution

The fourth proportional to 3,483.48, 5,223.28 and 1,142.86 is: 1,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.48 : 5,223.28 = 1,142.86 : x
  2. Step 2: Convert to fraction form
    3,483.48/5,223.28 = 1,142.86/x
  3. Step 3: Cross multiply
    3,483.48x = 5,223.28 × 1,142.86
  4. Step 4: Simplify right side
    3,483.48x = 5,969,473.80
  5. Step 5: Solve for x
    x = 5,969,473.80/3,483.48
  6. Step 6: Final answer
    x = 1,713.65

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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.