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Finding the Fourth Proportional to 5,253.90, 7,872.34 and 2,473.98

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Solution

The fourth proportional to 5,253.90, 7,872.34 and 2,473.98 is: 3,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.90 : 7,872.34 = 2,473.98 : x
  2. Step 2: Convert to fraction form
    5,253.90/7,872.34 = 2,473.98/x
  3. Step 3: Cross multiply
    5,253.90x = 7,872.34 × 2,473.98
  4. Step 4: Simplify right side
    5,253.90x = 19,476,011.71
  5. Step 5: Solve for x
    x = 19,476,011.71/5,253.90
  6. Step 6: Final answer
    x = 3,706.96

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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.