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Finding the Fourth Proportional to 4,767.24, 7,151.58 and 1,648.14

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Solution

The fourth proportional to 4,767.24, 7,151.58 and 1,648.14 is: 2,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.24 : 7,151.58 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    4,767.24/7,151.58 = 1,648.14/x
  3. Step 3: Cross multiply
    4,767.24x = 7,151.58 × 1,648.14
  4. Step 4: Simplify right side
    4,767.24x = 11,786,805.06
  5. Step 5: Solve for x
    x = 11,786,805.06/4,767.24
  6. Step 6: Final answer
    x = 2,472.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.