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Finding the Fourth Proportional to 3,498.45, 5,246.10 and 1,032.42

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Solution

The fourth proportional to 3,498.45, 5,246.10 and 1,032.42 is: 1,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.45 : 5,246.10 = 1,032.42 : x
  2. Step 2: Convert to fraction form
    3,498.45/5,246.10 = 1,032.42/x
  3. Step 3: Cross multiply
    3,498.45x = 5,246.10 × 1,032.42
  4. Step 4: Simplify right side
    3,498.45x = 5,416,178.56
  5. Step 5: Solve for x
    x = 5,416,178.56/3,498.45
  6. Step 6: Final answer
    x = 1,548.17

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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.