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Finding the Fourth Proportional to 5,776.68, 8,664.06 and 2,078.16

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Solution

The fourth proportional to 5,776.68, 8,664.06 and 2,078.16 is: 3,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.68 : 8,664.06 = 2,078.16 : x
  2. Step 2: Convert to fraction form
    5,776.68/8,664.06 = 2,078.16/x
  3. Step 3: Cross multiply
    5,776.68x = 8,664.06 × 2,078.16
  4. Step 4: Simplify right side
    5,776.68x = 18,005,302.93
  5. Step 5: Solve for x
    x = 18,005,302.93/5,776.68
  6. Step 6: Final answer
    x = 3,116.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.