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Finding the Fourth Proportional to 5,296.86, 7,914.84 and 4,040.55

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Solution

The fourth proportional to 5,296.86, 7,914.84 and 4,040.55 is: 6,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.86 : 7,914.84 = 4,040.55 : x
  2. Step 2: Convert to fraction form
    5,296.86/7,914.84 = 4,040.55/x
  3. Step 3: Cross multiply
    5,296.86x = 7,914.84 × 4,040.55
  4. Step 4: Simplify right side
    5,296.86x = 31,980,306.76
  5. Step 5: Solve for x
    x = 31,980,306.76/5,296.86
  6. Step 6: Final answer
    x = 6,037.60

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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.