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Finding the Fourth Proportional to 3,838.30, 5,746.71 and 1,985.42

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Solution

The fourth proportional to 3,838.30, 5,746.71 and 1,985.42 is: 2,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.30 : 5,746.71 = 1,985.42 : x
  2. Step 2: Convert to fraction form
    3,838.30/5,746.71 = 1,985.42/x
  3. Step 3: Cross multiply
    3,838.30x = 5,746.71 × 1,985.42
  4. Step 4: Simplify right side
    3,838.30x = 11,409,632.97
  5. Step 5: Solve for x
    x = 11,409,632.97/3,838.30
  6. Step 6: Final answer
    x = 2,972.57

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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.