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Finding the Fourth Proportional to 5,226.19, 7,839.19 and 2,106.11

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Solution

The fourth proportional to 5,226.19, 7,839.19 and 2,106.11 is: 3,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.19 : 7,839.19 = 2,106.11 : x
  2. Step 2: Convert to fraction form
    5,226.19/7,839.19 = 2,106.11/x
  3. Step 3: Cross multiply
    5,226.19x = 7,839.19 × 2,106.11
  4. Step 4: Simplify right side
    5,226.19x = 16,510,196.45
  5. Step 5: Solve for x
    x = 16,510,196.45/5,226.19
  6. Step 6: Final answer
    x = 3,159.13

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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.