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Finding the Fourth Proportional to 4,333.48, 6,494.74 and 2,141.62

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Solution

The fourth proportional to 4,333.48, 6,494.74 and 2,141.62 is: 3,209.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.48 : 6,494.74 = 2,141.62 : x
  2. Step 2: Convert to fraction form
    4,333.48/6,494.74 = 2,141.62/x
  3. Step 3: Cross multiply
    4,333.48x = 6,494.74 × 2,141.62
  4. Step 4: Simplify right side
    4,333.48x = 13,909,265.08
  5. Step 5: Solve for x
    x = 13,909,265.08/4,333.48
  6. Step 6: Final answer
    x = 3,209.72

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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.