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Finding the Fourth Proportional to 5,538.48, 8,307.76 and 1,434.48

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Solution

The fourth proportional to 5,538.48, 8,307.76 and 1,434.48 is: 2,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.48 : 8,307.76 = 1,434.48 : x
  2. Step 2: Convert to fraction form
    5,538.48/8,307.76 = 1,434.48/x
  3. Step 3: Cross multiply
    5,538.48x = 8,307.76 × 1,434.48
  4. Step 4: Simplify right side
    5,538.48x = 11,917,315.56
  5. Step 5: Solve for x
    x = 11,917,315.56/5,538.48
  6. Step 6: Final answer
    x = 2,151.73

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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.