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Finding the Fourth Proportional to 5,248.50, 7,874.03 and 1,600.50

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Solution

The fourth proportional to 5,248.50, 7,874.03 and 1,600.50 is: 2,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.50 : 7,874.03 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    5,248.50/7,874.03 = 1,600.50/x
  3. Step 3: Cross multiply
    5,248.50x = 7,874.03 × 1,600.50
  4. Step 4: Simplify right side
    5,248.50x = 12,602,385.02
  5. Step 5: Solve for x
    x = 12,602,385.02/5,248.50
  6. Step 6: Final answer
    x = 2,401.14

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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.