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Finding the Fourth Proportional to 4,654.85, 6,420.15 and 3,238.53

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Solution

The fourth proportional to 4,654.85, 6,420.15 and 3,238.53 is: 4,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.85 : 6,420.15 = 3,238.53 : x
  2. Step 2: Convert to fraction form
    4,654.85/6,420.15 = 3,238.53/x
  3. Step 3: Cross multiply
    4,654.85x = 6,420.15 × 3,238.53
  4. Step 4: Simplify right side
    4,654.85x = 20,791,848.38
  5. Step 5: Solve for x
    x = 20,791,848.38/4,654.85
  6. Step 6: Final answer
    x = 4,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.