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Finding the Fourth Proportional to 3,671.76, 5,066.76 and 2,077.95

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Solution

The fourth proportional to 3,671.76, 5,066.76 and 2,077.95 is: 2,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.76 : 5,066.76 = 2,077.95 : x
  2. Step 2: Convert to fraction form
    3,671.76/5,066.76 = 2,077.95/x
  3. Step 3: Cross multiply
    3,671.76x = 5,066.76 × 2,077.95
  4. Step 4: Simplify right side
    3,671.76x = 10,528,473.94
  5. Step 5: Solve for x
    x = 10,528,473.94/3,671.76
  6. Step 6: Final answer
    x = 2,867.42

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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.