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Finding the Fourth Proportional to 5,522.24, 8,288.22 and 4,657.16

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Solution

The fourth proportional to 5,522.24, 8,288.22 and 4,657.16 is: 6,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.24 : 8,288.22 = 4,657.16 : x
  2. Step 2: Convert to fraction form
    5,522.24/8,288.22 = 4,657.16/x
  3. Step 3: Cross multiply
    5,522.24x = 8,288.22 × 4,657.16
  4. Step 4: Simplify right side
    5,522.24x = 38,599,566.66
  5. Step 5: Solve for x
    x = 38,599,566.66/5,522.24
  6. Step 6: Final answer
    x = 6,989.84

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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.