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Finding the Fourth Proportional to 7,281.60, 10,922.64 and 2,351.76

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Solution

The fourth proportional to 7,281.60, 10,922.64 and 2,351.76 is: 3,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.60 : 10,922.64 = 2,351.76 : x
  2. Step 2: Convert to fraction form
    7,281.60/10,922.64 = 2,351.76/x
  3. Step 3: Cross multiply
    7,281.60x = 10,922.64 × 2,351.76
  4. Step 4: Simplify right side
    7,281.60x = 25,687,427.85
  5. Step 5: Solve for x
    x = 25,687,427.85/7,281.60
  6. Step 6: Final answer
    x = 3,527.72

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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.