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Finding the Fourth Proportional to 4,965.66, 7,444.26 and 4,088.22

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Solution

The fourth proportional to 4,965.66, 7,444.26 and 4,088.22 is: 6,128.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.66 : 7,444.26 = 4,088.22 : x
  2. Step 2: Convert to fraction form
    4,965.66/7,444.26 = 4,088.22/x
  3. Step 3: Cross multiply
    4,965.66x = 7,444.26 × 4,088.22
  4. Step 4: Simplify right side
    4,965.66x = 30,433,772.62
  5. Step 5: Solve for x
    x = 30,433,772.62/4,965.66
  6. Step 6: Final answer
    x = 6,128.85

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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.