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Finding the Fourth Proportional to 3,337.83, 5,006.83 and 1,582.41

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Solution

The fourth proportional to 3,337.83, 5,006.83 and 1,582.41 is: 2,373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.83 : 5,006.83 = 1,582.41 : x
  2. Step 2: Convert to fraction form
    3,337.83/5,006.83 = 1,582.41/x
  3. Step 3: Cross multiply
    3,337.83x = 5,006.83 × 1,582.41
  4. Step 4: Simplify right side
    3,337.83x = 7,922,849.95
  5. Step 5: Solve for x
    x = 7,922,849.95/3,337.83
  6. Step 6: Final answer
    x = 2,373.65

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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.