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Finding the Fourth Proportional to 3,957.66, 5,901.66 and 3,680.64

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Solution

The fourth proportional to 3,957.66, 5,901.66 and 3,680.64 is: 5,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.66 : 5,901.66 = 3,680.64 : x
  2. Step 2: Convert to fraction form
    3,957.66/5,901.66 = 3,680.64/x
  3. Step 3: Cross multiply
    3,957.66x = 5,901.66 × 3,680.64
  4. Step 4: Simplify right side
    3,957.66x = 21,721,885.86
  5. Step 5: Solve for x
    x = 21,721,885.86/3,957.66
  6. Step 6: Final answer
    x = 5,488.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.