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Finding the Fourth Proportional to 4,322.74, 5,962.98 and 2,833.06

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Solution

The fourth proportional to 4,322.74, 5,962.98 and 2,833.06 is: 3,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.74 : 5,962.98 = 2,833.06 : x
  2. Step 2: Convert to fraction form
    4,322.74/5,962.98 = 2,833.06/x
  3. Step 3: Cross multiply
    4,322.74x = 5,962.98 × 2,833.06
  4. Step 4: Simplify right side
    4,322.74x = 16,893,480.12
  5. Step 5: Solve for x
    x = 16,893,480.12/4,322.74
  6. Step 6: Final answer
    x = 3,908.05

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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.