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Finding the Fourth Proportional to 6,596.28, 9,102.85 and 3,724.70

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Solution

The fourth proportional to 6,596.28, 9,102.85 and 3,724.70 is: 5,140.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.28 : 9,102.85 = 3,724.70 : x
  2. Step 2: Convert to fraction form
    6,596.28/9,102.85 = 3,724.70/x
  3. Step 3: Cross multiply
    6,596.28x = 9,102.85 × 3,724.70
  4. Step 4: Simplify right side
    6,596.28x = 33,905,330.57
  5. Step 5: Solve for x
    x = 33,905,330.57/6,596.28
  6. Step 6: Final answer
    x = 5,140.07

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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.