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Finding the Fourth Proportional to 3,681.42, 5,522.13 and 1,490.16

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Solution

The fourth proportional to 3,681.42, 5,522.13 and 1,490.16 is: 2,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.42 : 5,522.13 = 1,490.16 : x
  2. Step 2: Convert to fraction form
    3,681.42/5,522.13 = 1,490.16/x
  3. Step 3: Cross multiply
    3,681.42x = 5,522.13 × 1,490.16
  4. Step 4: Simplify right side
    3,681.42x = 8,228,857.24
  5. Step 5: Solve for x
    x = 8,228,857.24/3,681.42
  6. Step 6: Final answer
    x = 2,235.24

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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.