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Finding the Fourth Proportional to 5,478.86, 7,564.46 and 3,889.04

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Solution

The fourth proportional to 5,478.86, 7,564.46 and 3,889.04 is: 5,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.86 : 7,564.46 = 3,889.04 : x
  2. Step 2: Convert to fraction form
    5,478.86/7,564.46 = 3,889.04/x
  3. Step 3: Cross multiply
    5,478.86x = 7,564.46 × 3,889.04
  4. Step 4: Simplify right side
    5,478.86x = 29,418,430.25
  5. Step 5: Solve for x
    x = 29,418,430.25/5,478.86
  6. Step 6: Final answer
    x = 5,369.44

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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.