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Finding the Fourth Proportional to 3,686.28, 5,534.88 and 1,499.28

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Solution

The fourth proportional to 3,686.28, 5,534.88 and 1,499.28 is: 2,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.28 : 5,534.88 = 1,499.28 : x
  2. Step 2: Convert to fraction form
    3,686.28/5,534.88 = 1,499.28/x
  3. Step 3: Cross multiply
    3,686.28x = 5,534.88 × 1,499.28
  4. Step 4: Simplify right side
    3,686.28x = 8,298,334.89
  5. Step 5: Solve for x
    x = 8,298,334.89/3,686.28
  6. Step 6: Final answer
    x = 2,251.14

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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.