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Finding the Fourth Proportional to 5,582.84, 8,372.13 and 1,833.74

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Solution

The fourth proportional to 5,582.84, 8,372.13 and 1,833.74 is: 2,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.84 : 8,372.13 = 1,833.74 : x
  2. Step 2: Convert to fraction form
    5,582.84/8,372.13 = 1,833.74/x
  3. Step 3: Cross multiply
    5,582.84x = 8,372.13 × 1,833.74
  4. Step 4: Simplify right side
    5,582.84x = 15,352,309.67
  5. Step 5: Solve for x
    x = 15,352,309.67/5,582.84
  6. Step 6: Final answer
    x = 2,749.91

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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.