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Finding the Fourth Proportional to 3,785.58, 5,678.37 and 1,320.75

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Solution

The fourth proportional to 3,785.58, 5,678.37 and 1,320.75 is: 1,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.58 : 5,678.37 = 1,320.75 : x
  2. Step 2: Convert to fraction form
    3,785.58/5,678.37 = 1,320.75/x
  3. Step 3: Cross multiply
    3,785.58x = 5,678.37 × 1,320.75
  4. Step 4: Simplify right side
    3,785.58x = 7,499,707.18
  5. Step 5: Solve for x
    x = 7,499,707.18/3,785.58
  6. Step 6: Final answer
    x = 1,981.13

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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.