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Finding the Fourth Proportional to 5,260.07, 7,256.31 and 4,884.95

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Solution

The fourth proportional to 5,260.07, 7,256.31 and 4,884.95 is: 6,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.07 : 7,256.31 = 4,884.95 : x
  2. Step 2: Convert to fraction form
    5,260.07/7,256.31 = 4,884.95/x
  3. Step 3: Cross multiply
    5,260.07x = 7,256.31 × 4,884.95
  4. Step 4: Simplify right side
    5,260.07x = 35,446,711.53
  5. Step 5: Solve for x
    x = 35,446,711.53/5,260.07
  6. Step 6: Final answer
    x = 6,738.83

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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.