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Finding the Fourth Proportional to 3,359.70, 5,041.51 and 1,411.74

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Solution

The fourth proportional to 3,359.70, 5,041.51 and 1,411.74 is: 2,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.70 : 5,041.51 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    3,359.70/5,041.51 = 1,411.74/x
  3. Step 3: Cross multiply
    3,359.70x = 5,041.51 × 1,411.74
  4. Step 4: Simplify right side
    3,359.70x = 7,117,301.33
  5. Step 5: Solve for x
    x = 7,117,301.33/3,359.70
  6. Step 6: Final answer
    x = 2,118.43

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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.