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Finding the Fourth Proportional to 5,632.18, 7,772.62 and 3,740.50

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Solution

The fourth proportional to 5,632.18, 7,772.62 and 3,740.50 is: 5,162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.18 : 7,772.62 = 3,740.50 : x
  2. Step 2: Convert to fraction form
    5,632.18/7,772.62 = 3,740.50/x
  3. Step 3: Cross multiply
    5,632.18x = 7,772.62 × 3,740.50
  4. Step 4: Simplify right side
    5,632.18x = 29,073,485.11
  5. Step 5: Solve for x
    x = 29,073,485.11/5,632.18
  6. Step 6: Final answer
    x = 5,162.03

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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.