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Finding the Fourth Proportional to 5,759.76, 8,597.58 and 4,943.28

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Solution

The fourth proportional to 5,759.76, 8,597.58 and 4,943.28 is: 7,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.76 : 8,597.58 = 4,943.28 : x
  2. Step 2: Convert to fraction form
    5,759.76/8,597.58 = 4,943.28/x
  3. Step 3: Cross multiply
    5,759.76x = 8,597.58 × 4,943.28
  4. Step 4: Simplify right side
    5,759.76x = 42,500,245.26
  5. Step 5: Solve for x
    x = 42,500,245.26/5,759.76
  6. Step 6: Final answer
    x = 7,378.82

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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.