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Finding the Fourth Proportional to 5,262.84, 7,262.87 and 3,165.75

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Solution

The fourth proportional to 5,262.84, 7,262.87 and 3,165.75 is: 4,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.84 : 7,262.87 = 3,165.75 : x
  2. Step 2: Convert to fraction form
    5,262.84/7,262.87 = 3,165.75/x
  3. Step 3: Cross multiply
    5,262.84x = 7,262.87 × 3,165.75
  4. Step 4: Simplify right side
    5,262.84x = 22,992,414.87
  5. Step 5: Solve for x
    x = 22,992,414.87/5,262.84
  6. Step 6: Final answer
    x = 4,368.82

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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.