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Finding the Fourth Proportional to 3,775.92, 5,664.12 and 1,582.44

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Solution

The fourth proportional to 3,775.92, 5,664.12 and 1,582.44 is: 2,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.92 : 5,664.12 = 1,582.44 : x
  2. Step 2: Convert to fraction form
    3,775.92/5,664.12 = 1,582.44/x
  3. Step 3: Cross multiply
    3,775.92x = 5,664.12 × 1,582.44
  4. Step 4: Simplify right side
    3,775.92x = 8,963,130.05
  5. Step 5: Solve for x
    x = 8,963,130.05/3,775.92
  6. Step 6: Final answer
    x = 2,373.76

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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.