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Finding the Fourth Proportional to 5,266.91, 7,897.29 and 1,980.26

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Solution

The fourth proportional to 5,266.91, 7,897.29 and 1,980.26 is: 2,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.91 : 7,897.29 = 1,980.26 : x
  2. Step 2: Convert to fraction form
    5,266.91/7,897.29 = 1,980.26/x
  3. Step 3: Cross multiply
    5,266.91x = 7,897.29 × 1,980.26
  4. Step 4: Simplify right side
    5,266.91x = 15,638,691.05
  5. Step 5: Solve for x
    x = 15,638,691.05/5,266.91
  6. Step 6: Final answer
    x = 2,969.23

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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.