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Finding the Fourth Proportional to 4,182.06, 6,276.29 and 1,552.06

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Solution

The fourth proportional to 4,182.06, 6,276.29 and 1,552.06 is: 2,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.06 : 6,276.29 = 1,552.06 : x
  2. Step 2: Convert to fraction form
    4,182.06/6,276.29 = 1,552.06/x
  3. Step 3: Cross multiply
    4,182.06x = 6,276.29 × 1,552.06
  4. Step 4: Simplify right side
    4,182.06x = 9,741,178.66
  5. Step 5: Solve for x
    x = 9,741,178.66/4,182.06
  6. Step 6: Final answer
    x = 2,329.28

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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.