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Finding the Fourth Proportional to 4,882, 7,323.04 and 1,419.52

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Solution

The fourth proportional to 4,882, 7,323.04 and 1,419.52 is: 2,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882 : 7,323.04 = 1,419.52 : x
  2. Step 2: Convert to fraction form
    4,882/7,323.04 = 1,419.52/x
  3. Step 3: Cross multiply
    4,882x = 7,323.04 × 1,419.52
  4. Step 4: Simplify right side
    4,882x = 10,395,201.74
  5. Step 5: Solve for x
    x = 10,395,201.74/4,882
  6. Step 6: Final answer
    x = 2,129.29

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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.