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Finding the Fourth Proportional to 3,838.15, 5,297.84 and 2,952.91

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Solution

The fourth proportional to 3,838.15, 5,297.84 and 2,952.91 is: 4,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.15 : 5,297.84 = 2,952.91 : x
  2. Step 2: Convert to fraction form
    3,838.15/5,297.84 = 2,952.91/x
  3. Step 3: Cross multiply
    3,838.15x = 5,297.84 × 2,952.91
  4. Step 4: Simplify right side
    3,838.15x = 15,644,044.71
  5. Step 5: Solve for x
    x = 15,644,044.71/3,838.15
  6. Step 6: Final answer
    x = 4,075.93

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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.