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Finding the Fourth Proportional to 4,357.71, 6,007.81 and 3,464.41

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Solution

The fourth proportional to 4,357.71, 6,007.81 and 3,464.41 is: 4,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.71 : 6,007.81 = 3,464.41 : x
  2. Step 2: Convert to fraction form
    4,357.71/6,007.81 = 3,464.41/x
  3. Step 3: Cross multiply
    4,357.71x = 6,007.81 × 3,464.41
  4. Step 4: Simplify right side
    4,357.71x = 20,813,499.72
  5. Step 5: Solve for x
    x = 20,813,499.72/4,357.71
  6. Step 6: Final answer
    x = 4,776.25

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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.