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Finding the Fourth Proportional to 4,106.17, 6,159.21 and 1,028.17

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Solution

The fourth proportional to 4,106.17, 6,159.21 and 1,028.17 is: 1,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.17 : 6,159.21 = 1,028.17 : x
  2. Step 2: Convert to fraction form
    4,106.17/6,159.21 = 1,028.17/x
  3. Step 3: Cross multiply
    4,106.17x = 6,159.21 × 1,028.17
  4. Step 4: Simplify right side
    4,106.17x = 6,332,714.95
  5. Step 5: Solve for x
    x = 6,332,714.95/4,106.17
  6. Step 6: Final answer
    x = 1,542.24

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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.