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Finding the Fourth Proportional to 5,740.26, 7,906.47 and 4,411.42

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Solution

The fourth proportional to 5,740.26, 7,906.47 and 4,411.42 is: 6,076.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.26 : 7,906.47 = 4,411.42 : x
  2. Step 2: Convert to fraction form
    5,740.26/7,906.47 = 4,411.42/x
  3. Step 3: Cross multiply
    5,740.26x = 7,906.47 × 4,411.42
  4. Step 4: Simplify right side
    5,740.26x = 34,878,759.89
  5. Step 5: Solve for x
    x = 34,878,759.89/5,740.26
  6. Step 6: Final answer
    x = 6,076.16

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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.