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Finding the Fourth Proportional to 3,809.60, 5,701.60 and 2,657.60

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Solution

The fourth proportional to 3,809.60, 5,701.60 and 2,657.60 is: 3,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.60 : 5,701.60 = 2,657.60 : x
  2. Step 2: Convert to fraction form
    3,809.60/5,701.60 = 2,657.60/x
  3. Step 3: Cross multiply
    3,809.60x = 5,701.60 × 2,657.60
  4. Step 4: Simplify right side
    3,809.60x = 15,152,572.16
  5. Step 5: Solve for x
    x = 15,152,572.16/3,809.60
  6. Step 6: Final answer
    x = 3,977.47

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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.