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Finding the Fourth Proportional to 4,461.81, 6,693.17 and 1,539.43

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Solution

The fourth proportional to 4,461.81, 6,693.17 and 1,539.43 is: 2,309.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.81 : 6,693.17 = 1,539.43 : x
  2. Step 2: Convert to fraction form
    4,461.81/6,693.17 = 1,539.43/x
  3. Step 3: Cross multiply
    4,461.81x = 6,693.17 × 1,539.43
  4. Step 4: Simplify right side
    4,461.81x = 10,303,666.69
  5. Step 5: Solve for x
    x = 10,303,666.69/4,461.81
  6. Step 6: Final answer
    x = 2,309.30

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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.