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Finding the Fourth Proportional to 5,740.86, 7,925.01 and 4,414.10

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Solution

The fourth proportional to 5,740.86, 7,925.01 and 4,414.10 is: 6,093.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.86 : 7,925.01 = 4,414.10 : x
  2. Step 2: Convert to fraction form
    5,740.86/7,925.01 = 4,414.10/x
  3. Step 3: Cross multiply
    5,740.86x = 7,925.01 × 4,414.10
  4. Step 4: Simplify right side
    5,740.86x = 34,981,786.64
  5. Step 5: Solve for x
    x = 34,981,786.64/5,740.86
  6. Step 6: Final answer
    x = 6,093.47

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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.