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Finding the Fourth Proportional to 4,315.25, 6,472.88 and 1,849.88

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Solution

The fourth proportional to 4,315.25, 6,472.88 and 1,849.88 is: 2,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.25 : 6,472.88 = 1,849.88 : x
  2. Step 2: Convert to fraction form
    4,315.25/6,472.88 = 1,849.88/x
  3. Step 3: Cross multiply
    4,315.25x = 6,472.88 × 1,849.88
  4. Step 4: Simplify right side
    4,315.25x = 11,974,009.64
  5. Step 5: Solve for x
    x = 11,974,009.64/4,315.25
  6. Step 6: Final answer
    x = 2,774.82

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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.