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Finding the Fourth Proportional to 5,807.54, 8,706.45 and 4,047.38

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Solution

The fourth proportional to 5,807.54, 8,706.45 and 4,047.38 is: 6,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.54 : 8,706.45 = 4,047.38 : x
  2. Step 2: Convert to fraction form
    5,807.54/8,706.45 = 4,047.38/x
  3. Step 3: Cross multiply
    5,807.54x = 8,706.45 × 4,047.38
  4. Step 4: Simplify right side
    5,807.54x = 35,238,333.37
  5. Step 5: Solve for x
    x = 35,238,333.37/5,807.54
  6. Step 6: Final answer
    x = 6,067.68

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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.