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Finding the Fourth Proportional to 7,281.44, 10,921.10 and 3,582.68

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Solution

The fourth proportional to 7,281.44, 10,921.10 and 3,582.68 is: 5,373.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.44 : 10,921.10 = 3,582.68 : x
  2. Step 2: Convert to fraction form
    7,281.44/10,921.10 = 3,582.68/x
  3. Step 3: Cross multiply
    7,281.44x = 10,921.10 × 3,582.68
  4. Step 4: Simplify right side
    7,281.44x = 39,126,734.03
  5. Step 5: Solve for x
    x = 39,126,734.03/7,281.44
  6. Step 6: Final answer
    x = 5,373.49

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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.