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Finding the Fourth Proportional to 5,538.17, 7,642.74 and 3,148.26

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Solution

The fourth proportional to 5,538.17, 7,642.74 and 3,148.26 is: 4,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.17 : 7,642.74 = 3,148.26 : x
  2. Step 2: Convert to fraction form
    5,538.17/7,642.74 = 3,148.26/x
  3. Step 3: Cross multiply
    5,538.17x = 7,642.74 × 3,148.26
  4. Step 4: Simplify right side
    5,538.17x = 24,061,332.63
  5. Step 5: Solve for x
    x = 24,061,332.63/5,538.17
  6. Step 6: Final answer
    x = 4,344.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.