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Finding the Fourth Proportional to 5,506.97, 7,599.76 and 3,149.87

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Solution

The fourth proportional to 5,506.97, 7,599.76 and 3,149.87 is: 4,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.97 : 7,599.76 = 3,149.87 : x
  2. Step 2: Convert to fraction form
    5,506.97/7,599.76 = 3,149.87/x
  3. Step 3: Cross multiply
    5,506.97x = 7,599.76 × 3,149.87
  4. Step 4: Simplify right side
    5,506.97x = 23,938,210.16
  5. Step 5: Solve for x
    x = 23,938,210.16/5,506.97
  6. Step 6: Final answer
    x = 4,346.90

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1.5x scale

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.