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Finding the Fourth Proportional to 6,592, 9,096.96 and 3,797.50

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Solution

The fourth proportional to 6,592, 9,096.96 and 3,797.50 is: 5,240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592 : 9,096.96 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    6,592/9,096.96 = 3,797.50/x
  3. Step 3: Cross multiply
    6,592x = 9,096.96 × 3,797.50
  4. Step 4: Simplify right side
    6,592x = 34,545,705.60
  5. Step 5: Solve for x
    x = 34,545,705.60/6,592
  6. Step 6: Final answer
    x = 5,240.55

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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.