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Finding the Fourth Proportional to 3,665.18, 5,497.78 and 2,435

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Solution

The fourth proportional to 3,665.18, 5,497.78 and 2,435 is: 3,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.18 : 5,497.78 = 2,435 : x
  2. Step 2: Convert to fraction form
    3,665.18/5,497.78 = 2,435/x
  3. Step 3: Cross multiply
    3,665.18x = 5,497.78 × 2,435
  4. Step 4: Simplify right side
    3,665.18x = 13,387,094.30
  5. Step 5: Solve for x
    x = 13,387,094.30/3,665.18
  6. Step 6: Final answer
    x = 3,652.51

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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.