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Finding the Fourth Proportional to 3,689.42, 5,533.58 and 1,498.14

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Solution

The fourth proportional to 3,689.42, 5,533.58 and 1,498.14 is: 2,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.42 : 5,533.58 = 1,498.14 : x
  2. Step 2: Convert to fraction form
    3,689.42/5,533.58 = 1,498.14/x
  3. Step 3: Cross multiply
    3,689.42x = 5,533.58 × 1,498.14
  4. Step 4: Simplify right side
    3,689.42x = 8,290,077.54
  5. Step 5: Solve for x
    x = 8,290,077.54/3,689.42
  6. Step 6: Final answer
    x = 2,246.99

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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.