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Finding the Fourth Proportional to 5,377.64, 7,421.22 and 3,019.78

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Solution

The fourth proportional to 5,377.64, 7,421.22 and 3,019.78 is: 4,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.64 : 7,421.22 = 3,019.78 : x
  2. Step 2: Convert to fraction form
    5,377.64/7,421.22 = 3,019.78/x
  3. Step 3: Cross multiply
    5,377.64x = 7,421.22 × 3,019.78
  4. Step 4: Simplify right side
    5,377.64x = 22,410,461.01
  5. Step 5: Solve for x
    x = 22,410,461.01/5,377.64
  6. Step 6: Final answer
    x = 4,167.34

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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.