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Finding the Fourth Proportional to 5,248.35, 7,872.93 and 1,550.50

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Solution

The fourth proportional to 5,248.35, 7,872.93 and 1,550.50 is: 2,325.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.35 : 7,872.93 = 1,550.50 : x
  2. Step 2: Convert to fraction form
    5,248.35/7,872.93 = 1,550.50/x
  3. Step 3: Cross multiply
    5,248.35x = 7,872.93 × 1,550.50
  4. Step 4: Simplify right side
    5,248.35x = 12,206,958.28
  5. Step 5: Solve for x
    x = 12,206,958.28/5,248.35
  6. Step 6: Final answer
    x = 2,325.87

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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.