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Finding the Fourth Proportional to 5,801.60, 8,703.84 and 2,720

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Solution

The fourth proportional to 5,801.60, 8,703.84 and 2,720 is: 4,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.60 : 8,703.84 = 2,720 : x
  2. Step 2: Convert to fraction form
    5,801.60/8,703.84 = 2,720/x
  3. Step 3: Cross multiply
    5,801.60x = 8,703.84 × 2,720
  4. Step 4: Simplify right side
    5,801.60x = 23,674,444.80
  5. Step 5: Solve for x
    x = 23,674,444.80/5,801.60
  6. Step 6: Final answer
    x = 4,080.68

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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.