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Finding the Fourth Proportional to 5,238.66, 7,859.34 and 1,541.01

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Solution

The fourth proportional to 5,238.66, 7,859.34 and 1,541.01 is: 2,311.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.66 : 7,859.34 = 1,541.01 : x
  2. Step 2: Convert to fraction form
    5,238.66/7,859.34 = 1,541.01/x
  3. Step 3: Cross multiply
    5,238.66x = 7,859.34 × 1,541.01
  4. Step 4: Simplify right side
    5,238.66x = 12,111,321.53
  5. Step 5: Solve for x
    x = 12,111,321.53/5,238.66
  6. Step 6: Final answer
    x = 2,311.91

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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.