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Finding the Fourth Proportional to 3,135.71, 4,326.40 and 1,957.97

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Solution

The fourth proportional to 3,135.71, 4,326.40 and 1,957.97 is: 2,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.71 : 4,326.40 = 1,957.97 : x
  2. Step 2: Convert to fraction form
    3,135.71/4,326.40 = 1,957.97/x
  3. Step 3: Cross multiply
    3,135.71x = 4,326.40 × 1,957.97
  4. Step 4: Simplify right side
    3,135.71x = 8,470,961.41
  5. Step 5: Solve for x
    x = 8,470,961.41/3,135.71
  6. Step 6: Final answer
    x = 2,701.45

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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.