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Finding the Fourth Proportional to 3,649.93, 5,036.99 and 2,159.12

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Solution

The fourth proportional to 3,649.93, 5,036.99 and 2,159.12 is: 2,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.93 : 5,036.99 = 2,159.12 : x
  2. Step 2: Convert to fraction form
    3,649.93/5,036.99 = 2,159.12/x
  3. Step 3: Cross multiply
    3,649.93x = 5,036.99 × 2,159.12
  4. Step 4: Simplify right side
    3,649.93x = 10,875,467.65
  5. Step 5: Solve for x
    x = 10,875,467.65/3,649.93
  6. Step 6: Final answer
    x = 2,979.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.