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Finding the Fourth Proportional to 5,767.66, 8,651.15 and 1,607.91

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Solution

The fourth proportional to 5,767.66, 8,651.15 and 1,607.91 is: 2,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.66 : 8,651.15 = 1,607.91 : x
  2. Step 2: Convert to fraction form
    5,767.66/8,651.15 = 1,607.91/x
  3. Step 3: Cross multiply
    5,767.66x = 8,651.15 × 1,607.91
  4. Step 4: Simplify right side
    5,767.66x = 13,910,270.60
  5. Step 5: Solve for x
    x = 13,910,270.60/5,767.66
  6. Step 6: Final answer
    x = 2,411.77

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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.