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Finding the Fourth Proportional to 5,111.88, 7,626.25 and 4,634.42

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Solution

The fourth proportional to 5,111.88, 7,626.25 and 4,634.42 is: 6,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,111.88 : 7,626.25 = 4,634.42 : x
  2. Step 2: Convert to fraction form
    5,111.88/7,626.25 = 4,634.42/x
  3. Step 3: Cross multiply
    5,111.88x = 7,626.25 × 4,634.42
  4. Step 4: Simplify right side
    5,111.88x = 35,343,213.19
  5. Step 5: Solve for x
    x = 35,343,213.19/5,111.88
  6. Step 6: Final answer
    x = 6,913.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.