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Finding the Fourth Proportional to 5,816.61, 8,739.50 and 5,466.69

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Solution

The fourth proportional to 5,816.61, 8,739.50 and 5,466.69 is: 8,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.61 : 8,739.50 = 5,466.69 : x
  2. Step 2: Convert to fraction form
    5,816.61/8,739.50 = 5,466.69/x
  3. Step 3: Cross multiply
    5,816.61x = 8,739.50 × 5,466.69
  4. Step 4: Simplify right side
    5,816.61x = 47,776,109.92
  5. Step 5: Solve for x
    x = 47,776,109.92/5,816.61
  6. Step 6: Final answer
    x = 8,213.74

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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.