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Finding the Fourth Proportional to 3,801.60, 5,243.40 and 2,403

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Solution

The fourth proportional to 3,801.60, 5,243.40 and 2,403 is: 3,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,243.40 = 2,403 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,243.40 = 2,403/x
  3. Step 3: Cross multiply
    3,801.60x = 5,243.40 × 2,403
  4. Step 4: Simplify right side
    3,801.60x = 12,599,890.20
  5. Step 5: Solve for x
    x = 12,599,890.20/3,801.60
  6. Step 6: Final answer
    x = 3,314.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.