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Finding the Fourth Proportional to 5,772.84, 7,964.71 and 3,532.38

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Solution

The fourth proportional to 5,772.84, 7,964.71 and 3,532.38 is: 4,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.84 : 7,964.71 = 3,532.38 : x
  2. Step 2: Convert to fraction form
    5,772.84/7,964.71 = 3,532.38/x
  3. Step 3: Cross multiply
    5,772.84x = 7,964.71 × 3,532.38
  4. Step 4: Simplify right side
    5,772.84x = 28,134,373.48
  5. Step 5: Solve for x
    x = 28,134,373.48/5,772.84
  6. Step 6: Final answer
    x = 4,873.58

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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.