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Finding the Fourth Proportional to 5,902.62, 8,142.54 and 4,784.82

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Solution

The fourth proportional to 5,902.62, 8,142.54 and 4,784.82 is: 6,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.62 : 8,142.54 = 4,784.82 : x
  2. Step 2: Convert to fraction form
    5,902.62/8,142.54 = 4,784.82/x
  3. Step 3: Cross multiply
    5,902.62x = 8,142.54 × 4,784.82
  4. Step 4: Simplify right side
    5,902.62x = 38,960,588.24
  5. Step 5: Solve for x
    x = 38,960,588.24/5,902.62
  6. Step 6: Final answer
    x = 6,600.56

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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.