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Finding the Fourth Proportional to 3,868.18, 5,802.20 and 1,559.68

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Solution

The fourth proportional to 3,868.18, 5,802.20 and 1,559.68 is: 2,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.18 : 5,802.20 = 1,559.68 : x
  2. Step 2: Convert to fraction form
    3,868.18/5,802.20 = 1,559.68/x
  3. Step 3: Cross multiply
    3,868.18x = 5,802.20 × 1,559.68
  4. Step 4: Simplify right side
    3,868.18x = 9,049,575.30
  5. Step 5: Solve for x
    x = 9,049,575.30/3,868.18
  6. Step 6: Final answer
    x = 2,339.49

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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.