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Finding the Fourth Proportional to 6,838.30, 10,254.48 and 3,544.30

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Solution

The fourth proportional to 6,838.30, 10,254.48 and 3,544.30 is: 5,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.30 : 10,254.48 = 3,544.30 : x
  2. Step 2: Convert to fraction form
    6,838.30/10,254.48 = 3,544.30/x
  3. Step 3: Cross multiply
    6,838.30x = 10,254.48 × 3,544.30
  4. Step 4: Simplify right side
    6,838.30x = 36,344,953.46
  5. Step 5: Solve for x
    x = 36,344,953.46/6,838.30
  6. Step 6: Final answer
    x = 5,314.91

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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.