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Finding the Fourth Proportional to 3,785.30, 5,678.54 and 1,012.20

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Solution

The fourth proportional to 3,785.30, 5,678.54 and 1,012.20 is: 1,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.30 : 5,678.54 = 1,012.20 : x
  2. Step 2: Convert to fraction form
    3,785.30/5,678.54 = 1,012.20/x
  3. Step 3: Cross multiply
    3,785.30x = 5,678.54 × 1,012.20
  4. Step 4: Simplify right side
    3,785.30x = 5,747,818.19
  5. Step 5: Solve for x
    x = 5,747,818.19/3,785.30
  6. Step 6: Final answer
    x = 1,518.46

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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.