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Finding the Fourth Proportional to 3,339.65, 5,013.54 and 1,562.42

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Solution

The fourth proportional to 3,339.65, 5,013.54 and 1,562.42 is: 2,345.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.65 : 5,013.54 = 1,562.42 : x
  2. Step 2: Convert to fraction form
    3,339.65/5,013.54 = 1,562.42/x
  3. Step 3: Cross multiply
    3,339.65x = 5,013.54 × 1,562.42
  4. Step 4: Simplify right side
    3,339.65x = 7,833,267.70
  5. Step 5: Solve for x
    x = 7,833,267.70/3,339.65
  6. Step 6: Final answer
    x = 2,345.53

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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.