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Finding the Fourth Proportional to 4,221.50, 6,332.40 and 1,143.50

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Solution

The fourth proportional to 4,221.50, 6,332.40 and 1,143.50 is: 1,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.50 : 6,332.40 = 1,143.50 : x
  2. Step 2: Convert to fraction form
    4,221.50/6,332.40 = 1,143.50/x
  3. Step 3: Cross multiply
    4,221.50x = 6,332.40 × 1,143.50
  4. Step 4: Simplify right side
    4,221.50x = 7,241,099.40
  5. Step 5: Solve for x
    x = 7,241,099.40/4,221.50
  6. Step 6: Final answer
    x = 1,715.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.