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Finding the Fourth Proportional to 4,992.82, 7,489.30 and 2,395.16

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Solution

The fourth proportional to 4,992.82, 7,489.30 and 2,395.16 is: 3,592.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.82 : 7,489.30 = 2,395.16 : x
  2. Step 2: Convert to fraction form
    4,992.82/7,489.30 = 2,395.16/x
  3. Step 3: Cross multiply
    4,992.82x = 7,489.30 × 2,395.16
  4. Step 4: Simplify right side
    4,992.82x = 17,938,071.79
  5. Step 5: Solve for x
    x = 17,938,071.79/4,992.82
  6. Step 6: Final answer
    x = 3,592.77

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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.