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Finding the Fourth Proportional to 3,531.67, 5,298.79 and 1,340.40

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Solution

The fourth proportional to 3,531.67, 5,298.79 and 1,340.40 is: 2,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.67 : 5,298.79 = 1,340.40 : x
  2. Step 2: Convert to fraction form
    3,531.67/5,298.79 = 1,340.40/x
  3. Step 3: Cross multiply
    3,531.67x = 5,298.79 × 1,340.40
  4. Step 4: Simplify right side
    3,531.67x = 7,102,498.12
  5. Step 5: Solve for x
    x = 7,102,498.12/3,531.67
  6. Step 6: Final answer
    x = 2,011.09

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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.