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Finding the Fourth Proportional to 5,807.56, 8,701.26 and 3,617.86

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Solution

The fourth proportional to 5,807.56, 8,701.26 and 3,617.86 is: 5,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.56 : 8,701.26 = 3,617.86 : x
  2. Step 2: Convert to fraction form
    5,807.56/8,701.26 = 3,617.86/x
  3. Step 3: Cross multiply
    5,807.56x = 8,701.26 × 3,617.86
  4. Step 4: Simplify right side
    5,807.56x = 31,479,940.50
  5. Step 5: Solve for x
    x = 31,479,940.50/5,807.56
  6. Step 6: Final answer
    x = 5,420.51

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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.