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Finding the Fourth Proportional to 3,786.60, 5,678.52 and 1,320.72

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Solution

The fourth proportional to 3,786.60, 5,678.52 and 1,320.72 is: 1,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.60 : 5,678.52 = 1,320.72 : x
  2. Step 2: Convert to fraction form
    3,786.60/5,678.52 = 1,320.72/x
  3. Step 3: Cross multiply
    3,786.60x = 5,678.52 × 1,320.72
  4. Step 4: Simplify right side
    3,786.60x = 7,499,734.93
  5. Step 5: Solve for x
    x = 7,499,734.93/3,786.60
  6. Step 6: Final answer
    x = 1,980.60

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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.