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Finding the Fourth Proportional to 5,266.48, 7,267.74 and 2,908.63

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Solution

The fourth proportional to 5,266.48, 7,267.74 and 2,908.63 is: 4,013.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.48 : 7,267.74 = 2,908.63 : x
  2. Step 2: Convert to fraction form
    5,266.48/7,267.74 = 2,908.63/x
  3. Step 3: Cross multiply
    5,266.48x = 7,267.74 × 2,908.63
  4. Step 4: Simplify right side
    5,266.48x = 21,139,130.26
  5. Step 5: Solve for x
    x = 21,139,130.26/5,266.48
  6. Step 6: Final answer
    x = 4,013.90

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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.