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Finding the Fourth Proportional to 5,133.44, 7,700.09 and 1,237.81

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Solution

The fourth proportional to 5,133.44, 7,700.09 and 1,237.81 is: 1,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.44 : 7,700.09 = 1,237.81 : x
  2. Step 2: Convert to fraction form
    5,133.44/7,700.09 = 1,237.81/x
  3. Step 3: Cross multiply
    5,133.44x = 7,700.09 × 1,237.81
  4. Step 4: Simplify right side
    5,133.44x = 9,531,270.75
  5. Step 5: Solve for x
    x = 9,531,270.75/5,133.44
  6. Step 6: Final answer
    x = 1,856.70

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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.