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Finding the Fourth Proportional to 3,661.90, 5,488.90 and 1,582.89

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Solution

The fourth proportional to 3,661.90, 5,488.90 and 1,582.89 is: 2,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.90 : 5,488.90 = 1,582.89 : x
  2. Step 2: Convert to fraction form
    3,661.90/5,488.90 = 1,582.89/x
  3. Step 3: Cross multiply
    3,661.90x = 5,488.90 × 1,582.89
  4. Step 4: Simplify right side
    3,661.90x = 8,688,324.92
  5. Step 5: Solve for x
    x = 8,688,324.92/3,661.90
  6. Step 6: Final answer
    x = 2,372.63

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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.