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Finding the Fourth Proportional to 4,656.90, 6,417.50 and 3,861.38

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Solution

The fourth proportional to 4,656.90, 6,417.50 and 3,861.38 is: 5,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.90 : 6,417.50 = 3,861.38 : x
  2. Step 2: Convert to fraction form
    4,656.90/6,417.50 = 3,861.38/x
  3. Step 3: Cross multiply
    4,656.90x = 6,417.50 × 3,861.38
  4. Step 4: Simplify right side
    4,656.90x = 24,780,406.15
  5. Step 5: Solve for x
    x = 24,780,406.15/4,656.90
  6. Step 6: Final answer
    x = 5,321.22

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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.