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Finding the Fourth Proportional to 4,202.85, 6,302.16 and 2,448.42

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Solution

The fourth proportional to 4,202.85, 6,302.16 and 2,448.42 is: 3,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.85 : 6,302.16 = 2,448.42 : x
  2. Step 2: Convert to fraction form
    4,202.85/6,302.16 = 2,448.42/x
  3. Step 3: Cross multiply
    4,202.85x = 6,302.16 × 2,448.42
  4. Step 4: Simplify right side
    4,202.85x = 15,430,334.59
  5. Step 5: Solve for x
    x = 15,430,334.59/4,202.85
  6. Step 6: Final answer
    x = 3,671.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.