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Finding the Fourth Proportional to 3,423.88, 5,135.82 and 2,053

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Solution

The fourth proportional to 3,423.88, 5,135.82 and 2,053 is: 3,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.88 : 5,135.82 = 2,053 : x
  2. Step 2: Convert to fraction form
    3,423.88/5,135.82 = 2,053/x
  3. Step 3: Cross multiply
    3,423.88x = 5,135.82 × 2,053
  4. Step 4: Simplify right side
    3,423.88x = 10,543,838.46
  5. Step 5: Solve for x
    x = 10,543,838.46/3,423.88
  6. Step 6: Final answer
    x = 3,079.50

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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.