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Finding the Fourth Proportional to 5,807.68, 8,717.67 and 3,617.95

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Solution

The fourth proportional to 5,807.68, 8,717.67 and 3,617.95 is: 5,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.68 : 8,717.67 = 3,617.95 : x
  2. Step 2: Convert to fraction form
    5,807.68/8,717.67 = 3,617.95/x
  3. Step 3: Cross multiply
    5,807.68x = 8,717.67 × 3,617.95
  4. Step 4: Simplify right side
    5,807.68x = 31,540,094.18
  5. Step 5: Solve for x
    x = 31,540,094.18/5,807.68
  6. Step 6: Final answer
    x = 5,430.76

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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.