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Finding the Fourth Proportional to 3,785.40, 5,678.43 and 1,320.18

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Solution

The fourth proportional to 3,785.40, 5,678.43 and 1,320.18 is: 1,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.40 : 5,678.43 = 1,320.18 : x
  2. Step 2: Convert to fraction form
    3,785.40/5,678.43 = 1,320.18/x
  3. Step 3: Cross multiply
    3,785.40x = 5,678.43 × 1,320.18
  4. Step 4: Simplify right side
    3,785.40x = 7,496,549.72
  5. Step 5: Solve for x
    x = 7,496,549.72/3,785.40
  6. Step 6: Final answer
    x = 1,980.39

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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.