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Finding the Fourth Proportional to 4,638.81, 6,404.52 and 3,048.29

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Solution

The fourth proportional to 4,638.81, 6,404.52 and 3,048.29 is: 4,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.81 : 6,404.52 = 3,048.29 : x
  2. Step 2: Convert to fraction form
    4,638.81/6,404.52 = 3,048.29/x
  3. Step 3: Cross multiply
    4,638.81x = 6,404.52 × 3,048.29
  4. Step 4: Simplify right side
    4,638.81x = 19,522,861.71
  5. Step 5: Solve for x
    x = 19,522,861.71/4,638.81
  6. Step 6: Final answer
    x = 4,208.59

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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.