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Finding the Fourth Proportional to 5,178.61, 7,144.09 and 3,052.69

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Solution

The fourth proportional to 5,178.61, 7,144.09 and 3,052.69 is: 4,211.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.61 : 7,144.09 = 3,052.69 : x
  2. Step 2: Convert to fraction form
    5,178.61/7,144.09 = 3,052.69/x
  3. Step 3: Cross multiply
    5,178.61x = 7,144.09 × 3,052.69
  4. Step 4: Simplify right side
    5,178.61x = 21,808,641.12
  5. Step 5: Solve for x
    x = 21,808,641.12/5,178.61
  6. Step 6: Final answer
    x = 4,211.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.