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Finding the Fourth Proportional to 3,695.88, 5,102.28 and 2,437.80

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Solution

The fourth proportional to 3,695.88, 5,102.28 and 2,437.80 is: 3,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.88 : 5,102.28 = 2,437.80 : x
  2. Step 2: Convert to fraction form
    3,695.88/5,102.28 = 2,437.80/x
  3. Step 3: Cross multiply
    3,695.88x = 5,102.28 × 2,437.80
  4. Step 4: Simplify right side
    3,695.88x = 12,438,338.18
  5. Step 5: Solve for x
    x = 12,438,338.18/3,695.88
  6. Step 6: Final answer
    x = 3,365.46

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