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Finding the Fourth Proportional to 5,728.17, 8,584.16 and 2,437.95

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Solution

The fourth proportional to 5,728.17, 8,584.16 and 2,437.95 is: 3,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.17 : 8,584.16 = 2,437.95 : x
  2. Step 2: Convert to fraction form
    5,728.17/8,584.16 = 2,437.95/x
  3. Step 3: Cross multiply
    5,728.17x = 8,584.16 × 2,437.95
  4. Step 4: Simplify right side
    5,728.17x = 20,927,740.68
  5. Step 5: Solve for x
    x = 20,927,740.68/5,728.17
  6. Step 6: Final answer
    x = 3,653.48

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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.