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Finding the Fourth Proportional to 4,223.60, 6,324.60 and 3,359.60

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Solution

The fourth proportional to 4,223.60, 6,324.60 and 3,359.60 is: 5,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.60 : 6,324.60 = 3,359.60 : x
  2. Step 2: Convert to fraction form
    4,223.60/6,324.60 = 3,359.60/x
  3. Step 3: Cross multiply
    4,223.60x = 6,324.60 × 3,359.60
  4. Step 4: Simplify right side
    4,223.60x = 21,248,126.16
  5. Step 5: Solve for x
    x = 21,248,126.16/4,223.60
  6. Step 6: Final answer
    x = 5,030.81

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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.