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Finding the Fourth Proportional to 3,690.41, 5,537.93 and 1,499.13

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Solution

The fourth proportional to 3,690.41, 5,537.93 and 1,499.13 is: 2,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.41 : 5,537.93 = 1,499.13 : x
  2. Step 2: Convert to fraction form
    3,690.41/5,537.93 = 1,499.13/x
  3. Step 3: Cross multiply
    3,690.41x = 5,537.93 × 1,499.13
  4. Step 4: Simplify right side
    3,690.41x = 8,302,069.51
  5. Step 5: Solve for x
    x = 8,302,069.51/3,690.41
  6. Step 6: Final answer
    x = 2,249.64

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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.