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Finding the Fourth Proportional to 5,719.50, 8,541.18 and 5,657.65

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Solution

The fourth proportional to 5,719.50, 8,541.18 and 5,657.65 is: 8,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.50 : 8,541.18 = 5,657.65 : x
  2. Step 2: Convert to fraction form
    5,719.50/8,541.18 = 5,657.65/x
  3. Step 3: Cross multiply
    5,719.50x = 8,541.18 × 5,657.65
  4. Step 4: Simplify right side
    5,719.50x = 48,322,996.21
  5. Step 5: Solve for x
    x = 48,322,996.21/5,719.50
  6. Step 6: Final answer
    x = 8,448.82

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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.