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Finding the Fourth Proportional to 5,429.98, 8,144.97 and 1,534.38

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Solution

The fourth proportional to 5,429.98, 8,144.97 and 1,534.38 is: 2,301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.98 : 8,144.97 = 1,534.38 : x
  2. Step 2: Convert to fraction form
    5,429.98/8,144.97 = 1,534.38/x
  3. Step 3: Cross multiply
    5,429.98x = 8,144.97 × 1,534.38
  4. Step 4: Simplify right side
    5,429.98x = 12,497,479.07
  5. Step 5: Solve for x
    x = 12,497,479.07/5,429.98
  6. Step 6: Final answer
    x = 2,301.57

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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.