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Finding the Fourth Proportional to 4,494.53, 6,202.38 and 2,505.17

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Solution

The fourth proportional to 4,494.53, 6,202.38 and 2,505.17 is: 3,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.53 : 6,202.38 = 2,505.17 : x
  2. Step 2: Convert to fraction form
    4,494.53/6,202.38 = 2,505.17/x
  3. Step 3: Cross multiply
    4,494.53x = 6,202.38 × 2,505.17
  4. Step 4: Simplify right side
    4,494.53x = 15,537,994.69
  5. Step 5: Solve for x
    x = 15,537,994.69/4,494.53
  6. Step 6: Final answer
    x = 3,457.09

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Why These Related Problems?

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