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Finding the Fourth Proportional to 5,506.66, 7,600.80 and 3,149.02

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Solution

The fourth proportional to 5,506.66, 7,600.80 and 3,149.02 is: 4,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.66 : 7,600.80 = 3,149.02 : x
  2. Step 2: Convert to fraction form
    5,506.66/7,600.80 = 3,149.02/x
  3. Step 3: Cross multiply
    5,506.66x = 7,600.80 × 3,149.02
  4. Step 4: Simplify right side
    5,506.66x = 23,935,071.22
  5. Step 5: Solve for x
    x = 23,935,071.22/5,506.66
  6. Step 6: Final answer
    x = 4,346.57

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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.