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Finding the Fourth Proportional to 3,359.63, 5,039.46 and 1,411.83

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Solution

The fourth proportional to 3,359.63, 5,039.46 and 1,411.83 is: 2,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,359.63 : 5,039.46 = 1,411.83 : x
  2. Step 2: Convert to fraction form
    3,359.63/5,039.46 = 1,411.83/x
  3. Step 3: Cross multiply
    3,359.63x = 5,039.46 × 1,411.83
  4. Step 4: Simplify right side
    3,359.63x = 7,114,860.81
  5. Step 5: Solve for x
    x = 7,114,860.81/3,359.63
  6. Step 6: Final answer
    x = 2,117.75

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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.