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Finding the Fourth Proportional to 3,838.84, 5,730.23 and 3,294.52

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Solution

The fourth proportional to 3,838.84, 5,730.23 and 3,294.52 is: 4,917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.84 : 5,730.23 = 3,294.52 : x
  2. Step 2: Convert to fraction form
    3,838.84/5,730.23 = 3,294.52/x
  3. Step 3: Cross multiply
    3,838.84x = 5,730.23 × 3,294.52
  4. Step 4: Simplify right side
    3,838.84x = 18,878,357.34
  5. Step 5: Solve for x
    x = 18,878,357.34/3,838.84
  6. Step 6: Final answer
    x = 4,917.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.