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Finding the Fourth Proportional to 6,156.88, 9,237.44 and 3,380.00

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Solution

The fourth proportional to 6,156.88, 9,237.44 and 3,380.00 is: 5,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.88 : 9,237.44 = 3,380.00 : x
  2. Step 2: Convert to fraction form
    6,156.88/9,237.44 = 3,380.00/x
  3. Step 3: Cross multiply
    6,156.88x = 9,237.44 × 3,380.00
  4. Step 4: Simplify right side
    6,156.88x = 31,222,509.46
  5. Step 5: Solve for x
    x = 31,222,509.46/6,156.88
  6. Step 6: Final answer
    x = 5,071.16

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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.