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Finding the Fourth Proportional to 3,662.06, 5,053.74 and 2,068.58

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Solution

The fourth proportional to 3,662.06, 5,053.74 and 2,068.58 is: 2,854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.06 : 5,053.74 = 2,068.58 : x
  2. Step 2: Convert to fraction form
    3,662.06/5,053.74 = 2,068.58/x
  3. Step 3: Cross multiply
    3,662.06x = 5,053.74 × 2,068.58
  4. Step 4: Simplify right side
    3,662.06x = 10,454,065.49
  5. Step 5: Solve for x
    x = 10,454,065.49/3,662.06
  6. Step 6: Final answer
    x = 2,854.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.