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Finding the Fourth Proportional to 5,348, 8,021.04 and 2,425.60

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Solution

The fourth proportional to 5,348, 8,021.04 and 2,425.60 is: 3,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348 : 8,021.04 = 2,425.60 : x
  2. Step 2: Convert to fraction form
    5,348/8,021.04 = 2,425.60/x
  3. Step 3: Cross multiply
    5,348x = 8,021.04 × 2,425.60
  4. Step 4: Simplify right side
    5,348x = 19,455,834.62
  5. Step 5: Solve for x
    x = 19,455,834.62/5,348
  6. Step 6: Final answer
    x = 3,637.96

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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.