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Finding the Fourth Proportional to 4,774.74, 7,163.52 and 2,582.88

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Solution

The fourth proportional to 4,774.74, 7,163.52 and 2,582.88 is: 3,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.74 : 7,163.52 = 2,582.88 : x
  2. Step 2: Convert to fraction form
    4,774.74/7,163.52 = 2,582.88/x
  3. Step 3: Cross multiply
    4,774.74x = 7,163.52 × 2,582.88
  4. Step 4: Simplify right side
    4,774.74x = 18,502,512.54
  5. Step 5: Solve for x
    x = 18,502,512.54/4,774.74
  6. Step 6: Final answer
    x = 3,875.08

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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.