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Finding the Fourth Proportional to 5,443.74, 7,516.07 and 3,653.90

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Solution

The fourth proportional to 5,443.74, 7,516.07 and 3,653.90 is: 5,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.74 : 7,516.07 = 3,653.90 : x
  2. Step 2: Convert to fraction form
    5,443.74/7,516.07 = 3,653.90/x
  3. Step 3: Cross multiply
    5,443.74x = 7,516.07 × 3,653.90
  4. Step 4: Simplify right side
    5,443.74x = 27,462,968.17
  5. Step 5: Solve for x
    x = 27,462,968.17/5,443.74
  6. Step 6: Final answer
    x = 5,044.87

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Why These Related Problems?

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