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Finding the Fourth Proportional to 5,377.42, 7,420.42 and 3,019.11

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Solution

The fourth proportional to 5,377.42, 7,420.42 and 3,019.11 is: 4,166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.42 : 7,420.42 = 3,019.11 : x
  2. Step 2: Convert to fraction form
    5,377.42/7,420.42 = 3,019.11/x
  3. Step 3: Cross multiply
    5,377.42x = 7,420.42 × 3,019.11
  4. Step 4: Simplify right side
    5,377.42x = 22,403,064.23
  5. Step 5: Solve for x
    x = 22,403,064.23/5,377.42
  6. Step 6: Final answer
    x = 4,166.14

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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.