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Finding the Fourth Proportional to 5,548, 8,323.02 and 3,354.13

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Solution

The fourth proportional to 5,548, 8,323.02 and 3,354.13 is: 5,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548 : 8,323.02 = 3,354.13 : x
  2. Step 2: Convert to fraction form
    5,548/8,323.02 = 3,354.13/x
  3. Step 3: Cross multiply
    5,548x = 8,323.02 × 3,354.13
  4. Step 4: Simplify right side
    5,548x = 27,916,491.07
  5. Step 5: Solve for x
    x = 27,916,491.07/5,548
  6. Step 6: Final answer
    x = 5,031.81

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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.