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Finding the Fourth Proportional to 6,556.04, 9,046.32 and 3,761

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Solution

The fourth proportional to 6,556.04, 9,046.32 and 3,761 is: 5,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.04 : 9,046.32 = 3,761 : x
  2. Step 2: Convert to fraction form
    6,556.04/9,046.32 = 3,761/x
  3. Step 3: Cross multiply
    6,556.04x = 9,046.32 × 3,761
  4. Step 4: Simplify right side
    6,556.04x = 34,023,209.52
  5. Step 5: Solve for x
    x = 34,023,209.52/6,556.04
  6. Step 6: Final answer
    x = 5,189.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.