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Finding the Fourth Proportional to 3,774.98, 5,663.49 and 1,583.12

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Solution

The fourth proportional to 3,774.98, 5,663.49 and 1,583.12 is: 2,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.98 : 5,663.49 = 1,583.12 : x
  2. Step 2: Convert to fraction form
    3,774.98/5,663.49 = 1,583.12/x
  3. Step 3: Cross multiply
    3,774.98x = 5,663.49 × 1,583.12
  4. Step 4: Simplify right side
    3,774.98x = 8,965,992.51
  5. Step 5: Solve for x
    x = 8,965,992.51/3,774.98
  6. Step 6: Final answer
    x = 2,375.11

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1.5x scale

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.