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Finding the Fourth Proportional to 5,162.46, 7,747.44 and 1,875.84

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Solution

The fourth proportional to 5,162.46, 7,747.44 and 1,875.84 is: 2,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.46 : 7,747.44 = 1,875.84 : x
  2. Step 2: Convert to fraction form
    5,162.46/7,747.44 = 1,875.84/x
  3. Step 3: Cross multiply
    5,162.46x = 7,747.44 × 1,875.84
  4. Step 4: Simplify right side
    5,162.46x = 14,532,957.85
  5. Step 5: Solve for x
    x = 14,532,957.85/5,162.46
  6. Step 6: Final answer
    x = 2,815.12

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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.