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Finding the Fourth Proportional to 4,964.24, 6,844.76 and 4,113.72

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Solution

The fourth proportional to 4,964.24, 6,844.76 and 4,113.72 is: 5,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.24 : 6,844.76 = 4,113.72 : x
  2. Step 2: Convert to fraction form
    4,964.24/6,844.76 = 4,113.72/x
  3. Step 3: Cross multiply
    4,964.24x = 6,844.76 × 4,113.72
  4. Step 4: Simplify right side
    4,964.24x = 28,157,426.11
  5. Step 5: Solve for x
    x = 28,157,426.11/4,964.24
  6. Step 6: Final answer
    x = 5,672.05

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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.