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Finding the Fourth Proportional to 5,807.99, 8,706.51 and 4,769.16

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Solution

The fourth proportional to 5,807.99, 8,706.51 and 4,769.16 is: 7,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.99 : 8,706.51 = 4,769.16 : x
  2. Step 2: Convert to fraction form
    5,807.99/8,706.51 = 4,769.16/x
  3. Step 3: Cross multiply
    5,807.99x = 8,706.51 × 4,769.16
  4. Step 4: Simplify right side
    5,807.99x = 41,522,739.23
  5. Step 5: Solve for x
    x = 41,522,739.23/5,807.99
  6. Step 6: Final answer
    x = 7,149.25

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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.