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Finding the Fourth Proportional to 3,660.42, 5,489.91 and 1,320.36

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Solution

The fourth proportional to 3,660.42, 5,489.91 and 1,320.36 is: 1,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.42 : 5,489.91 = 1,320.36 : x
  2. Step 2: Convert to fraction form
    3,660.42/5,489.91 = 1,320.36/x
  3. Step 3: Cross multiply
    3,660.42x = 5,489.91 × 1,320.36
  4. Step 4: Simplify right side
    3,660.42x = 7,248,657.57
  5. Step 5: Solve for x
    x = 7,248,657.57/3,660.42
  6. Step 6: Final answer
    x = 1,980.28

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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.