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Finding the Fourth Proportional to 5,585.51, 7,708.02 and 3,227.65

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Solution

The fourth proportional to 5,585.51, 7,708.02 and 3,227.65 is: 4,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.51 : 7,708.02 = 3,227.65 : x
  2. Step 2: Convert to fraction form
    5,585.51/7,708.02 = 3,227.65/x
  3. Step 3: Cross multiply
    5,585.51x = 7,708.02 × 3,227.65
  4. Step 4: Simplify right side
    5,585.51x = 24,878,790.75
  5. Step 5: Solve for x
    x = 24,878,790.75/5,585.51
  6. Step 6: Final answer
    x = 4,454.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.