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Finding the Fourth Proportional to 4,092.84, 5,646.38 and 2,520

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Solution

The fourth proportional to 4,092.84, 5,646.38 and 2,520 is: 3,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.84 : 5,646.38 = 2,520 : x
  2. Step 2: Convert to fraction form
    4,092.84/5,646.38 = 2,520/x
  3. Step 3: Cross multiply
    4,092.84x = 5,646.38 × 2,520
  4. Step 4: Simplify right side
    4,092.84x = 14,228,865
  5. Step 5: Solve for x
    x = 14,228,865/4,092.84
  6. Step 6: Final answer
    x = 3,476.53

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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.