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Finding the Fourth Proportional to 5,337.14, 7,365.69 and 3,099.74

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Solution

The fourth proportional to 5,337.14, 7,365.69 and 3,099.74 is: 4,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.14 : 7,365.69 = 3,099.74 : x
  2. Step 2: Convert to fraction form
    5,337.14/7,365.69 = 3,099.74/x
  3. Step 3: Cross multiply
    5,337.14x = 7,365.69 × 3,099.74
  4. Step 4: Simplify right side
    5,337.14x = 22,831,687.09
  5. Step 5: Solve for x
    x = 22,831,687.09/5,337.14
  6. Step 6: Final answer
    x = 4,277.89

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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.