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Finding the Fourth Proportional to 5,672.80, 8,468.80 and 4,797.76

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Solution

The fourth proportional to 5,672.80, 8,468.80 and 4,797.76 is: 7,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.80 : 8,468.80 = 4,797.76 : x
  2. Step 2: Convert to fraction form
    5,672.80/8,468.80 = 4,797.76/x
  3. Step 3: Cross multiply
    5,672.80x = 8,468.80 × 4,797.76
  4. Step 4: Simplify right side
    5,672.80x = 40,631,269.89
  5. Step 5: Solve for x
    x = 40,631,269.89/5,672.80
  6. Step 6: Final answer
    x = 7,162.47

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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.