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Finding the Fourth Proportional to 4,774.58, 7,162.24 and 1,264.57

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Solution

The fourth proportional to 4,774.58, 7,162.24 and 1,264.57 is: 1,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.58 : 7,162.24 = 1,264.57 : x
  2. Step 2: Convert to fraction form
    4,774.58/7,162.24 = 1,264.57/x
  3. Step 3: Cross multiply
    4,774.58x = 7,162.24 × 1,264.57
  4. Step 4: Simplify right side
    4,774.58x = 9,057,180.17
  5. Step 5: Solve for x
    x = 9,057,180.17/4,774.58
  6. Step 6: Final answer
    x = 1,896.96

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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.