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Finding the Fourth Proportional to 5,484.86, 7,564.98 and 3,806.28

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Solution

The fourth proportional to 5,484.86, 7,564.98 and 3,806.28 is: 5,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.86 : 7,564.98 = 3,806.28 : x
  2. Step 2: Convert to fraction form
    5,484.86/7,564.98 = 3,806.28/x
  3. Step 3: Cross multiply
    5,484.86x = 7,564.98 × 3,806.28
  4. Step 4: Simplify right side
    5,484.86x = 28,794,432.07
  5. Step 5: Solve for x
    x = 28,794,432.07/5,484.86
  6. Step 6: Final answer
    x = 5,249.80

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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.