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Finding the Fourth Proportional to 3,339.84, 5,010.98 and 1,585.38

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Solution

The fourth proportional to 3,339.84, 5,010.98 and 1,585.38 is: 2,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.84 : 5,010.98 = 1,585.38 : x
  2. Step 2: Convert to fraction form
    3,339.84/5,010.98 = 1,585.38/x
  3. Step 3: Cross multiply
    3,339.84x = 5,010.98 × 1,585.38
  4. Step 4: Simplify right side
    3,339.84x = 7,944,299.55
  5. Step 5: Solve for x
    x = 7,944,299.55/3,339.84
  6. Step 6: Final answer
    x = 2,378.65

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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.