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Finding the Fourth Proportional to 3,801.60, 5,702.40 and 1,336.40

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Solution

The fourth proportional to 3,801.60, 5,702.40 and 1,336.40 is: 2,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,702.40 = 1,336.40 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,702.40 = 1,336.40/x
  3. Step 3: Cross multiply
    3,801.60x = 5,702.40 × 1,336.40
  4. Step 4: Simplify right side
    3,801.60x = 7,620,687.36
  5. Step 5: Solve for x
    x = 7,620,687.36/3,801.60
  6. Step 6: Final answer
    x = 2,004.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.