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Finding the Fourth Proportional to 5,494.88, 7,580.30 and 3,605.70

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Solution

The fourth proportional to 5,494.88, 7,580.30 and 3,605.70 is: 4,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.88 : 7,580.30 = 3,605.70 : x
  2. Step 2: Convert to fraction form
    5,494.88/7,580.30 = 3,605.70/x
  3. Step 3: Cross multiply
    5,494.88x = 7,580.30 × 3,605.70
  4. Step 4: Simplify right side
    5,494.88x = 27,332,287.71
  5. Step 5: Solve for x
    x = 27,332,287.71/5,494.88
  6. Step 6: Final answer
    x = 4,974.14

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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.