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Finding the Fourth Proportional to 4,844.17, 7,266.26 and 3,200.34

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Solution

The fourth proportional to 4,844.17, 7,266.26 and 3,200.34 is: 4,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.17 : 7,266.26 = 3,200.34 : x
  2. Step 2: Convert to fraction form
    4,844.17/7,266.26 = 3,200.34/x
  3. Step 3: Cross multiply
    4,844.17x = 7,266.26 × 3,200.34
  4. Step 4: Simplify right side
    4,844.17x = 23,254,502.53
  5. Step 5: Solve for x
    x = 23,254,502.53/4,844.17
  6. Step 6: Final answer
    x = 4,800.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.