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Finding the Fourth Proportional to 5,406.77, 7,464.78 and 4,414.40

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Solution

The fourth proportional to 5,406.77, 7,464.78 and 4,414.40 is: 6,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.77 : 7,464.78 = 4,414.40 : x
  2. Step 2: Convert to fraction form
    5,406.77/7,464.78 = 4,414.40/x
  3. Step 3: Cross multiply
    5,406.77x = 7,464.78 × 4,414.40
  4. Step 4: Simplify right side
    5,406.77x = 32,952,524.83
  5. Step 5: Solve for x
    x = 32,952,524.83/5,406.77
  6. Step 6: Final answer
    x = 6,094.68

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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.