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Finding the Fourth Proportional to 3,506.54, 4,839.14 and 2,014.76

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Solution

The fourth proportional to 3,506.54, 4,839.14 and 2,014.76 is: 2,780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.54 : 4,839.14 = 2,014.76 : x
  2. Step 2: Convert to fraction form
    3,506.54/4,839.14 = 2,014.76/x
  3. Step 3: Cross multiply
    3,506.54x = 4,839.14 × 2,014.76
  4. Step 4: Simplify right side
    3,506.54x = 9,749,684.29
  5. Step 5: Solve for x
    x = 9,749,684.29/3,506.54
  6. Step 6: Final answer
    x = 2,780.43

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1.5x scale

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.