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Finding the Fourth Proportional to 5,162.76, 7,742.20 and 1,875.04

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Solution

The fourth proportional to 5,162.76, 7,742.20 and 1,875.04 is: 2,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.76 : 7,742.20 = 1,875.04 : x
  2. Step 2: Convert to fraction form
    5,162.76/7,742.20 = 1,875.04/x
  3. Step 3: Cross multiply
    5,162.76x = 7,742.20 × 1,875.04
  4. Step 4: Simplify right side
    5,162.76x = 14,516,934.69
  5. Step 5: Solve for x
    x = 14,516,934.69/5,162.76
  6. Step 6: Final answer
    x = 2,811.86

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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.