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Finding the Fourth Proportional to 3,660.04, 5,488.48 and 1,160.65

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Solution

The fourth proportional to 3,660.04, 5,488.48 and 1,160.65 is: 1,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.04 : 5,488.48 = 1,160.65 : x
  2. Step 2: Convert to fraction form
    3,660.04/5,488.48 = 1,160.65/x
  3. Step 3: Cross multiply
    3,660.04x = 5,488.48 × 1,160.65
  4. Step 4: Simplify right side
    3,660.04x = 6,370,204.31
  5. Step 5: Solve for x
    x = 6,370,204.31/3,660.04
  6. Step 6: Final answer
    x = 1,740.47

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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.