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Finding the Fourth Proportional to 4,886.24, 7,318.02 and 4,849.82

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Solution

The fourth proportional to 4,886.24, 7,318.02 and 4,849.82 is: 7,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.24 : 7,318.02 = 4,849.82 : x
  2. Step 2: Convert to fraction form
    4,886.24/7,318.02 = 4,849.82/x
  3. Step 3: Cross multiply
    4,886.24x = 7,318.02 × 4,849.82
  4. Step 4: Simplify right side
    4,886.24x = 35,491,079.76
  5. Step 5: Solve for x
    x = 35,491,079.76/4,886.24
  6. Step 6: Final answer
    x = 7,263.47

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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.