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Finding the Fourth Proportional to 3,838.93, 5,758.61 and 1,242.07

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Solution

The fourth proportional to 3,838.93, 5,758.61 and 1,242.07 is: 1,863.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.93 : 5,758.61 = 1,242.07 : x
  2. Step 2: Convert to fraction form
    3,838.93/5,758.61 = 1,242.07/x
  3. Step 3: Cross multiply
    3,838.93x = 5,758.61 × 1,242.07
  4. Step 4: Simplify right side
    3,838.93x = 7,152,596.72
  5. Step 5: Solve for x
    x = 7,152,596.72/3,838.93
  6. Step 6: Final answer
    x = 1,863.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.