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Finding the Fourth Proportional to 5,611.16, 8,416.43 and 4,566.26

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Solution

The fourth proportional to 5,611.16, 8,416.43 and 4,566.26 is: 6,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.16 : 8,416.43 = 4,566.26 : x
  2. Step 2: Convert to fraction form
    5,611.16/8,416.43 = 4,566.26/x
  3. Step 3: Cross multiply
    5,611.16x = 8,416.43 × 4,566.26
  4. Step 4: Simplify right side
    5,611.16x = 38,431,542.74
  5. Step 5: Solve for x
    x = 38,431,542.74/5,611.16
  6. Step 6: Final answer
    x = 6,849.13

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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.