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Finding the Fourth Proportional to 5,255.29, 7,252.64 and 2,897.65

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Solution

The fourth proportional to 5,255.29, 7,252.64 and 2,897.65 is: 3,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.29 : 7,252.64 = 2,897.65 : x
  2. Step 2: Convert to fraction form
    5,255.29/7,252.64 = 2,897.65/x
  3. Step 3: Cross multiply
    5,255.29x = 7,252.64 × 2,897.65
  4. Step 4: Simplify right side
    5,255.29x = 21,015,597.81
  5. Step 5: Solve for x
    x = 21,015,597.81/5,255.29
  6. Step 6: Final answer
    x = 3,998.94

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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.