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Finding the Fourth Proportional to 3,785.61, 5,678.96 and 1,188.75

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Solution

The fourth proportional to 3,785.61, 5,678.96 and 1,188.75 is: 1,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.61 : 5,678.96 = 1,188.75 : x
  2. Step 2: Convert to fraction form
    3,785.61/5,678.96 = 1,188.75/x
  3. Step 3: Cross multiply
    3,785.61x = 5,678.96 × 1,188.75
  4. Step 4: Simplify right side
    3,785.61x = 6,750,857.76
  5. Step 5: Solve for x
    x = 6,750,857.76/3,785.61
  6. Step 6: Final answer
    x = 1,783.29

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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.