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Finding the Fourth Proportional to 5,262.86, 7,261.87 and 3,024.26

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Solution

The fourth proportional to 5,262.86, 7,261.87 and 3,024.26 is: 4,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.86 : 7,261.87 = 3,024.26 : x
  2. Step 2: Convert to fraction form
    5,262.86/7,261.87 = 3,024.26/x
  3. Step 3: Cross multiply
    5,262.86x = 7,261.87 × 3,024.26
  4. Step 4: Simplify right side
    5,262.86x = 21,961,746.66
  5. Step 5: Solve for x
    x = 21,961,746.66/5,262.86
  6. Step 6: Final answer
    x = 4,172.97

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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.