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Finding the Fourth Proportional to 4,211.64, 6,312.34 and 2,979.41

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Solution

The fourth proportional to 4,211.64, 6,312.34 and 2,979.41 is: 4,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.64 : 6,312.34 = 2,979.41 : x
  2. Step 2: Convert to fraction form
    4,211.64/6,312.34 = 2,979.41/x
  3. Step 3: Cross multiply
    4,211.64x = 6,312.34 × 2,979.41
  4. Step 4: Simplify right side
    4,211.64x = 18,807,049.11
  5. Step 5: Solve for x
    x = 18,807,049.11/4,211.64
  6. Step 6: Final answer
    x = 4,465.49

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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.