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Finding the Fourth Proportional to 3,706.68, 5,112.80 and 2,378.28

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Solution

The fourth proportional to 3,706.68, 5,112.80 and 2,378.28 is: 3,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.68 : 5,112.80 = 2,378.28 : x
  2. Step 2: Convert to fraction form
    3,706.68/5,112.80 = 2,378.28/x
  3. Step 3: Cross multiply
    3,706.68x = 5,112.80 × 2,378.28
  4. Step 4: Simplify right side
    3,706.68x = 12,159,669.98
  5. Step 5: Solve for x
    x = 12,159,669.98/3,706.68
  6. Step 6: Final answer
    x = 3,280.47

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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.