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Finding the Fourth Proportional to 3,774.88, 5,656.55 and 1,582.41

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Solution

The fourth proportional to 3,774.88, 5,656.55 and 1,582.41 is: 2,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.88 : 5,656.55 = 1,582.41 : x
  2. Step 2: Convert to fraction form
    3,774.88/5,656.55 = 1,582.41/x
  3. Step 3: Cross multiply
    3,774.88x = 5,656.55 × 1,582.41
  4. Step 4: Simplify right side
    3,774.88x = 8,951,000.52
  5. Step 5: Solve for x
    x = 8,951,000.52/3,774.88
  6. Step 6: Final answer
    x = 2,371.20

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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.