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Finding the Fourth Proportional to 4,494.40, 6,202.42 and 2,505.13

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Solution

The fourth proportional to 4,494.40, 6,202.42 and 2,505.13 is: 3,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.40 : 6,202.42 = 2,505.13 : x
  2. Step 2: Convert to fraction form
    4,494.40/6,202.42 = 2,505.13/x
  3. Step 3: Cross multiply
    4,494.40x = 6,202.42 × 2,505.13
  4. Step 4: Simplify right side
    4,494.40x = 15,537,846.65
  5. Step 5: Solve for x
    x = 15,537,846.65/4,494.40
  6. Step 6: Final answer
    x = 3,457.16

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