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Finding the Fourth Proportional to 4,272.17, 6,406.17 and 1,498.46

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Solution

The fourth proportional to 4,272.17, 6,406.17 and 1,498.46 is: 2,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.17 : 6,406.17 = 1,498.46 : x
  2. Step 2: Convert to fraction form
    4,272.17/6,406.17 = 1,498.46/x
  3. Step 3: Cross multiply
    4,272.17x = 6,406.17 × 1,498.46
  4. Step 4: Simplify right side
    4,272.17x = 9,599,357.47
  5. Step 5: Solve for x
    x = 9,599,357.47/4,272.17
  6. Step 6: Final answer
    x = 2,246.95

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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.