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Finding the Fourth Proportional to 5,032.71, 6,946.02 and 4,811.31

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Solution

The fourth proportional to 5,032.71, 6,946.02 and 4,811.31 is: 6,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,032.71 : 6,946.02 = 4,811.31 : x
  2. Step 2: Convert to fraction form
    5,032.71/6,946.02 = 4,811.31/x
  3. Step 3: Cross multiply
    5,032.71x = 6,946.02 × 4,811.31
  4. Step 4: Simplify right side
    5,032.71x = 33,419,455.49
  5. Step 5: Solve for x
    x = 33,419,455.49/5,032.71
  6. Step 6: Final answer
    x = 6,640.45

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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.