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Finding the Fourth Proportional to 3,698.82, 5,549.16 and 1,101.76

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Solution

The fourth proportional to 3,698.82, 5,549.16 and 1,101.76 is: 1,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.82 : 5,549.16 = 1,101.76 : x
  2. Step 2: Convert to fraction form
    3,698.82/5,549.16 = 1,101.76/x
  3. Step 3: Cross multiply
    3,698.82x = 5,549.16 × 1,101.76
  4. Step 4: Simplify right side
    3,698.82x = 6,113,842.52
  5. Step 5: Solve for x
    x = 6,113,842.52/3,698.82
  6. Step 6: Final answer
    x = 1,652.92

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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.