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Finding the Fourth Proportional to 3,338.76, 5,009.04 and 1,147.53

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Solution

The fourth proportional to 3,338.76, 5,009.04 and 1,147.53 is: 1,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,338.76 : 5,009.04 = 1,147.53 : x
  2. Step 2: Convert to fraction form
    3,338.76/5,009.04 = 1,147.53/x
  3. Step 3: Cross multiply
    3,338.76x = 5,009.04 × 1,147.53
  4. Step 4: Simplify right side
    3,338.76x = 5,748,023.67
  5. Step 5: Solve for x
    x = 5,748,023.67/3,338.76
  6. Step 6: Final answer
    x = 1,721.60

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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.