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Finding the Fourth Proportional to 3,735.04, 5,597.68 and 1,540.84

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Solution

The fourth proportional to 3,735.04, 5,597.68 and 1,540.84 is: 2,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.04 : 5,597.68 = 1,540.84 : x
  2. Step 2: Convert to fraction form
    3,735.04/5,597.68 = 1,540.84/x
  3. Step 3: Cross multiply
    3,735.04x = 5,597.68 × 1,540.84
  4. Step 4: Simplify right side
    3,735.04x = 8,625,129.25
  5. Step 5: Solve for x
    x = 8,625,129.25/3,735.04
  6. Step 6: Final answer
    x = 2,309.25

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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.