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Finding the Fourth Proportional to 3,733.84, 5,154.78 and 2,976.28

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Solution

The fourth proportional to 3,733.84, 5,154.78 and 2,976.28 is: 4,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.84 : 5,154.78 = 2,976.28 : x
  2. Step 2: Convert to fraction form
    3,733.84/5,154.78 = 2,976.28/x
  3. Step 3: Cross multiply
    3,733.84x = 5,154.78 × 2,976.28
  4. Step 4: Simplify right side
    3,733.84x = 15,342,068.62
  5. Step 5: Solve for x
    x = 15,342,068.62/3,733.84
  6. Step 6: Final answer
    x = 4,108.93

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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.