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Finding the Fourth Proportional to 5,852.12, 8,780.20 and 3,658.23

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Solution

The fourth proportional to 5,852.12, 8,780.20 and 3,658.23 is: 5,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.12 : 8,780.20 = 3,658.23 : x
  2. Step 2: Convert to fraction form
    5,852.12/8,780.20 = 3,658.23/x
  3. Step 3: Cross multiply
    5,852.12x = 8,780.20 × 3,658.23
  4. Step 4: Simplify right side
    5,852.12x = 32,119,981.90
  5. Step 5: Solve for x
    x = 32,119,981.90/5,852.12
  6. Step 6: Final answer
    x = 5,488.61

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