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Finding the Fourth Proportional to 5,872.80, 8,106.12 and 3,776.16

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Solution

The fourth proportional to 5,872.80, 8,106.12 and 3,776.16 is: 5,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.80 : 8,106.12 = 3,776.16 : x
  2. Step 2: Convert to fraction form
    5,872.80/8,106.12 = 3,776.16/x
  3. Step 3: Cross multiply
    5,872.80x = 8,106.12 × 3,776.16
  4. Step 4: Simplify right side
    5,872.80x = 30,610,006.10
  5. Step 5: Solve for x
    x = 30,610,006.10/5,872.80
  6. Step 6: Final answer
    x = 5,212.17

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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.