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Finding the Fourth Proportional to 3,778.32, 5,214.42 and 2,206.74

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Solution

The fourth proportional to 3,778.32, 5,214.42 and 2,206.74 is: 3,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.32 : 5,214.42 = 2,206.74 : x
  2. Step 2: Convert to fraction form
    3,778.32/5,214.42 = 2,206.74/x
  3. Step 3: Cross multiply
    3,778.32x = 5,214.42 × 2,206.74
  4. Step 4: Simplify right side
    3,778.32x = 11,506,869.19
  5. Step 5: Solve for x
    x = 11,506,869.19/3,778.32
  6. Step 6: Final answer
    x = 3,045.50

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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.