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Finding the Fourth Proportional to 5,364.68, 8,038.25 and 5,159.65

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Solution

The fourth proportional to 5,364.68, 8,038.25 and 5,159.65 is: 7,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.68 : 8,038.25 = 5,159.65 : x
  2. Step 2: Convert to fraction form
    5,364.68/8,038.25 = 5,159.65/x
  3. Step 3: Cross multiply
    5,364.68x = 8,038.25 × 5,159.65
  4. Step 4: Simplify right side
    5,364.68x = 41,474,556.61
  5. Step 5: Solve for x
    x = 41,474,556.61/5,364.68
  6. Step 6: Final answer
    x = 7,731.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.