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Finding the Fourth Proportional to 4,462.86, 6,694.02 and 1,541.10

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Solution

The fourth proportional to 4,462.86, 6,694.02 and 1,541.10 is: 2,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.86 : 6,694.02 = 1,541.10 : x
  2. Step 2: Convert to fraction form
    4,462.86/6,694.02 = 1,541.10/x
  3. Step 3: Cross multiply
    4,462.86x = 6,694.02 × 1,541.10
  4. Step 4: Simplify right side
    4,462.86x = 10,316,154.22
  5. Step 5: Solve for x
    x = 10,316,154.22/4,462.86
  6. Step 6: Final answer
    x = 2,311.56

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Why These Related Problems?

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