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Finding the Fourth Proportional to 5,565.96, 8,348.94 and 2,278.32

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Solution

The fourth proportional to 5,565.96, 8,348.94 and 2,278.32 is: 3,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.96 : 8,348.94 = 2,278.32 : x
  2. Step 2: Convert to fraction form
    5,565.96/8,348.94 = 2,278.32/x
  3. Step 3: Cross multiply
    5,565.96x = 8,348.94 × 2,278.32
  4. Step 4: Simplify right side
    5,565.96x = 19,021,556.98
  5. Step 5: Solve for x
    x = 19,021,556.98/5,565.96
  6. Step 6: Final answer
    x = 3,417.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.