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Finding the Fourth Proportional to 3,660.94, 5,488.12 and 1,319.32

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Solution

The fourth proportional to 3,660.94, 5,488.12 and 1,319.32 is: 1,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.94 : 5,488.12 = 1,319.32 : x
  2. Step 2: Convert to fraction form
    3,660.94/5,488.12 = 1,319.32/x
  3. Step 3: Cross multiply
    3,660.94x = 5,488.12 × 1,319.32
  4. Step 4: Simplify right side
    3,660.94x = 7,240,586.48
  5. Step 5: Solve for x
    x = 7,240,586.48/3,660.94
  6. Step 6: Final answer
    x = 1,977.79

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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.