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Finding the Fourth Proportional to 5,807.02, 8,722.42 and 3,835.54

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Solution

The fourth proportional to 5,807.02, 8,722.42 and 3,835.54 is: 5,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.02 : 8,722.42 = 3,835.54 : x
  2. Step 2: Convert to fraction form
    5,807.02/8,722.42 = 3,835.54/x
  3. Step 3: Cross multiply
    5,807.02x = 8,722.42 × 3,835.54
  4. Step 4: Simplify right side
    5,807.02x = 33,455,190.81
  5. Step 5: Solve for x
    x = 33,455,190.81/5,807.02
  6. Step 6: Final answer
    x = 5,761.16

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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.