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Finding the Fourth Proportional to 5,260.57, 7,259.28 and 2,902.71

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Solution

The fourth proportional to 5,260.57, 7,259.28 and 2,902.71 is: 4,005.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.57 : 7,259.28 = 2,902.71 : x
  2. Step 2: Convert to fraction form
    5,260.57/7,259.28 = 2,902.71/x
  3. Step 3: Cross multiply
    5,260.57x = 7,259.28 × 2,902.71
  4. Step 4: Simplify right side
    5,260.57x = 21,071,584.65
  5. Step 5: Solve for x
    x = 21,071,584.65/5,260.57
  6. Step 6: Final answer
    x = 4,005.57

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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.