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Finding the Fourth Proportional to 3,506.71, 4,839.05 and 2,014.62

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Solution

The fourth proportional to 3,506.71, 4,839.05 and 2,014.62 is: 2,780.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.71 : 4,839.05 = 2,014.62 : x
  2. Step 2: Convert to fraction form
    3,506.71/4,839.05 = 2,014.62/x
  3. Step 3: Cross multiply
    3,506.71x = 4,839.05 × 2,014.62
  4. Step 4: Simplify right side
    3,506.71x = 9,748,863.85
  5. Step 5: Solve for x
    x = 9,748,863.85/3,506.71
  6. Step 6: Final answer
    x = 2,780.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.