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Finding the Fourth Proportional to 3,569.98, 4,926.54 and 1,998.09

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Solution

The fourth proportional to 3,569.98, 4,926.54 and 1,998.09 is: 2,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.98 : 4,926.54 = 1,998.09 : x
  2. Step 2: Convert to fraction form
    3,569.98/4,926.54 = 1,998.09/x
  3. Step 3: Cross multiply
    3,569.98x = 4,926.54 × 1,998.09
  4. Step 4: Simplify right side
    3,569.98x = 9,843,670.31
  5. Step 5: Solve for x
    x = 9,843,670.31/3,569.98
  6. Step 6: Final answer
    x = 2,757.35

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1.5x scale

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.