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Finding the Fourth Proportional to 5,380.86, 7,428.90 and 4,266.30

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Solution

The fourth proportional to 5,380.86, 7,428.90 and 4,266.30 is: 5,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.86 : 7,428.90 = 4,266.30 : x
  2. Step 2: Convert to fraction form
    5,380.86/7,428.90 = 4,266.30/x
  3. Step 3: Cross multiply
    5,380.86x = 7,428.90 × 4,266.30
  4. Step 4: Simplify right side
    5,380.86x = 31,693,916.07
  5. Step 5: Solve for x
    x = 31,693,916.07/5,380.86
  6. Step 6: Final answer
    x = 5,890.12

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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.