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Finding the Fourth Proportional to 3,506.62, 4,839.14 and 2,014.64

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Solution

The fourth proportional to 3,506.62, 4,839.14 and 2,014.64 is: 2,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.62 : 4,839.14 = 2,014.64 : x
  2. Step 2: Convert to fraction form
    3,506.62/4,839.14 = 2,014.64/x
  3. Step 3: Cross multiply
    3,506.62x = 4,839.14 × 2,014.64
  4. Step 4: Simplify right side
    3,506.62x = 9,749,125.01
  5. Step 5: Solve for x
    x = 9,749,125.01/3,506.62
  6. Step 6: Final answer
    x = 2,780.21

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Why These Related Problems?

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