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Finding the Fourth Proportional to 5,457.38, 7,530.82 and 3,219.14

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Solution

The fourth proportional to 5,457.38, 7,530.82 and 3,219.14 is: 4,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.38 : 7,530.82 = 3,219.14 : x
  2. Step 2: Convert to fraction form
    5,457.38/7,530.82 = 3,219.14/x
  3. Step 3: Cross multiply
    5,457.38x = 7,530.82 × 3,219.14
  4. Step 4: Simplify right side
    5,457.38x = 24,242,792.78
  5. Step 5: Solve for x
    x = 24,242,792.78/5,457.38
  6. Step 6: Final answer
    x = 4,442.21

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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.