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Finding the Fourth Proportional to 5,239.65, 7,848.93 and 2,424.52

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Solution

The fourth proportional to 5,239.65, 7,848.93 and 2,424.52 is: 3,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.65 : 7,848.93 = 2,424.52 : x
  2. Step 2: Convert to fraction form
    5,239.65/7,848.93 = 2,424.52/x
  3. Step 3: Cross multiply
    5,239.65x = 7,848.93 × 2,424.52
  4. Step 4: Simplify right side
    5,239.65x = 19,029,859.05
  5. Step 5: Solve for x
    x = 19,029,859.05/5,239.65
  6. Step 6: Final answer
    x = 3,631.90

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Why These Related Problems?

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