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Finding the Fourth Proportional to 5,309.03, 7,323.17 and 3,814.58

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Solution

The fourth proportional to 5,309.03, 7,323.17 and 3,814.58 is: 5,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.03 : 7,323.17 = 3,814.58 : x
  2. Step 2: Convert to fraction form
    5,309.03/7,323.17 = 3,814.58/x
  3. Step 3: Cross multiply
    5,309.03x = 7,323.17 × 3,814.58
  4. Step 4: Simplify right side
    5,309.03x = 27,934,817.82
  5. Step 5: Solve for x
    x = 27,934,817.82/5,309.03
  6. Step 6: Final answer
    x = 5,261.76

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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.