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Finding the Fourth Proportional to 3,730.19, 5,590.99 and 1,649.46

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Solution

The fourth proportional to 3,730.19, 5,590.99 and 1,649.46 is: 2,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.19 : 5,590.99 = 1,649.46 : x
  2. Step 2: Convert to fraction form
    3,730.19/5,590.99 = 1,649.46/x
  3. Step 3: Cross multiply
    3,730.19x = 5,590.99 × 1,649.46
  4. Step 4: Simplify right side
    3,730.19x = 9,222,137.39
  5. Step 5: Solve for x
    x = 9,222,137.39/3,730.19
  6. Step 6: Final answer
    x = 2,472.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.