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Finding the Fourth Proportional to 4,638.16, 6,400.76 and 2,958.08

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Solution

The fourth proportional to 4,638.16, 6,400.76 and 2,958.08 is: 4,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.16 : 6,400.76 = 2,958.08 : x
  2. Step 2: Convert to fraction form
    4,638.16/6,400.76 = 2,958.08/x
  3. Step 3: Cross multiply
    4,638.16x = 6,400.76 × 2,958.08
  4. Step 4: Simplify right side
    4,638.16x = 18,933,960.14
  5. Step 5: Solve for x
    x = 18,933,960.14/4,638.16
  6. Step 6: Final answer
    x = 4,082.21

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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.