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Finding the Fourth Proportional to 5,866.72, 8,801.22 and 1,971.16

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Solution

The fourth proportional to 5,866.72, 8,801.22 and 1,971.16 is: 2,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866.72 : 8,801.22 = 1,971.16 : x
  2. Step 2: Convert to fraction form
    5,866.72/8,801.22 = 1,971.16/x
  3. Step 3: Cross multiply
    5,866.72x = 8,801.22 × 1,971.16
  4. Step 4: Simplify right side
    5,866.72x = 17,348,612.82
  5. Step 5: Solve for x
    x = 17,348,612.82/5,866.72
  6. Step 6: Final answer
    x = 2,957.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.