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Finding the Fourth Proportional to 3,498.71, 4,827.81 and 2,171.93

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Solution

The fourth proportional to 3,498.71, 4,827.81 and 2,171.93 is: 2,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.71 : 4,827.81 = 2,171.93 : x
  2. Step 2: Convert to fraction form
    3,498.71/4,827.81 = 2,171.93/x
  3. Step 3: Cross multiply
    3,498.71x = 4,827.81 × 2,171.93
  4. Step 4: Simplify right side
    3,498.71x = 10,485,641.23
  5. Step 5: Solve for x
    x = 10,485,641.23/3,498.71
  6. Step 6: Final answer
    x = 2,997.01

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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.