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Finding the Fourth Proportional to 3,384.77, 5,077.13 and 1,741.77

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Solution

The fourth proportional to 3,384.77, 5,077.13 and 1,741.77 is: 2,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.77 : 5,077.13 = 1,741.77 : x
  2. Step 2: Convert to fraction form
    3,384.77/5,077.13 = 1,741.77/x
  3. Step 3: Cross multiply
    3,384.77x = 5,077.13 × 1,741.77
  4. Step 4: Simplify right side
    3,384.77x = 8,843,184.01
  5. Step 5: Solve for x
    x = 8,843,184.01/3,384.77
  6. Step 6: Final answer
    x = 2,612.64

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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.