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Finding the Fourth Proportional to 3,785.32, 5,678.88 and 1,188.25

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Solution

The fourth proportional to 3,785.32, 5,678.88 and 1,188.25 is: 1,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.32 : 5,678.88 = 1,188.25 : x
  2. Step 2: Convert to fraction form
    3,785.32/5,678.88 = 1,188.25/x
  3. Step 3: Cross multiply
    3,785.32x = 5,678.88 × 1,188.25
  4. Step 4: Simplify right side
    3,785.32x = 6,747,929.16
  5. Step 5: Solve for x
    x = 6,747,929.16/3,785.32
  6. Step 6: Final answer
    x = 1,782.66

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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.