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Finding the Fourth Proportional to 4,683.92, 6,464.49 and 4,538.66

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Solution

The fourth proportional to 4,683.92, 6,464.49 and 4,538.66 is: 6,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.92 : 6,464.49 = 4,538.66 : x
  2. Step 2: Convert to fraction form
    4,683.92/6,464.49 = 4,538.66/x
  3. Step 3: Cross multiply
    4,683.92x = 6,464.49 × 4,538.66
  4. Step 4: Simplify right side
    4,683.92x = 29,340,122.18
  5. Step 5: Solve for x
    x = 29,340,122.18/4,683.92
  6. Step 6: Final answer
    x = 6,264.01

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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.