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Finding the Fourth Proportional to 5,146.88, 7,709.98 and 2,369.70

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Solution

The fourth proportional to 5,146.88, 7,709.98 and 2,369.70 is: 3,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.88 : 7,709.98 = 2,369.70 : x
  2. Step 2: Convert to fraction form
    5,146.88/7,709.98 = 2,369.70/x
  3. Step 3: Cross multiply
    5,146.88x = 7,709.98 × 2,369.70
  4. Step 4: Simplify right side
    5,146.88x = 18,270,339.61
  5. Step 5: Solve for x
    x = 18,270,339.61/5,146.88
  6. Step 6: Final answer
    x = 3,549.79

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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.