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Finding the Fourth Proportional to 3,914.70, 5,886.45 and 3,281.10

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Solution

The fourth proportional to 3,914.70, 5,886.45 and 3,281.10 is: 4,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.70 : 5,886.45 = 3,281.10 : x
  2. Step 2: Convert to fraction form
    3,914.70/5,886.45 = 3,281.10/x
  3. Step 3: Cross multiply
    3,914.70x = 5,886.45 × 3,281.10
  4. Step 4: Simplify right side
    3,914.70x = 19,314,031.10
  5. Step 5: Solve for x
    x = 19,314,031.10/3,914.70
  6. Step 6: Final answer
    x = 4,933.72

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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.