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Finding the Fourth Proportional to 5,177.92, 7,710.88 and 4,845.76

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Solution

The fourth proportional to 5,177.92, 7,710.88 and 4,845.76 is: 7,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.92 : 7,710.88 = 4,845.76 : x
  2. Step 2: Convert to fraction form
    5,177.92/7,710.88 = 4,845.76/x
  3. Step 3: Cross multiply
    5,177.92x = 7,710.88 × 4,845.76
  4. Step 4: Simplify right side
    5,177.92x = 37,365,073.87
  5. Step 5: Solve for x
    x = 37,365,073.87/5,177.92
  6. Step 6: Final answer
    x = 7,216.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.