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Finding the Fourth Proportional to 4,529.88, 6,785.60 and 4,151.88

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Solution

The fourth proportional to 4,529.88, 6,785.60 and 4,151.88 is: 6,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.88 : 6,785.60 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    4,529.88/6,785.60 = 4,151.88/x
  3. Step 3: Cross multiply
    4,529.88x = 6,785.60 × 4,151.88
  4. Step 4: Simplify right side
    4,529.88x = 28,172,976.17
  5. Step 5: Solve for x
    x = 28,172,976.17/4,529.88
  6. Step 6: Final answer
    x = 6,219.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.