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Finding the Fourth Proportional to 5,778.84, 8,669.16 and 1,882.34

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Solution

The fourth proportional to 5,778.84, 8,669.16 and 1,882.34 is: 2,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.84 : 8,669.16 = 1,882.34 : x
  2. Step 2: Convert to fraction form
    5,778.84/8,669.16 = 1,882.34/x
  3. Step 3: Cross multiply
    5,778.84x = 8,669.16 × 1,882.34
  4. Step 4: Simplify right side
    5,778.84x = 16,318,306.63
  5. Step 5: Solve for x
    x = 16,318,306.63/5,778.84
  6. Step 6: Final answer
    x = 2,823.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.