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Finding the Fourth Proportional to 4,410.71, 6,086.99 and 2,421.24

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Solution

The fourth proportional to 4,410.71, 6,086.99 and 2,421.24 is: 3,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.71 : 6,086.99 = 2,421.24 : x
  2. Step 2: Convert to fraction form
    4,410.71/6,086.99 = 2,421.24/x
  3. Step 3: Cross multiply
    4,410.71x = 6,086.99 × 2,421.24
  4. Step 4: Simplify right side
    4,410.71x = 14,738,051.56
  5. Step 5: Solve for x
    x = 14,738,051.56/4,410.71
  6. Step 6: Final answer
    x = 3,341.43

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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.