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Finding the Fourth Proportional to 3,852.08, 5,778.12 and 3,034.70

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Solution

The fourth proportional to 3,852.08, 5,778.12 and 3,034.70 is: 4,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.08 : 5,778.12 = 3,034.70 : x
  2. Step 2: Convert to fraction form
    3,852.08/5,778.12 = 3,034.70/x
  3. Step 3: Cross multiply
    3,852.08x = 5,778.12 × 3,034.70
  4. Step 4: Simplify right side
    3,852.08x = 17,534,860.76
  5. Step 5: Solve for x
    x = 17,534,860.76/3,852.08
  6. Step 6: Final answer
    x = 4,552.05

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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.