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Finding the Fourth Proportional to 5,902.92, 8,141.76 and 5,482.44

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Solution

The fourth proportional to 5,902.92, 8,141.76 and 5,482.44 is: 7,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.92 : 8,141.76 = 5,482.44 : x
  2. Step 2: Convert to fraction form
    5,902.92/8,141.76 = 5,482.44/x
  3. Step 3: Cross multiply
    5,902.92x = 8,141.76 × 5,482.44
  4. Step 4: Simplify right side
    5,902.92x = 44,636,710.69
  5. Step 5: Solve for x
    x = 44,636,710.69/5,902.92
  6. Step 6: Final answer
    x = 7,561.80

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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.