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Finding the Fourth Proportional to 5,665.86, 8,498.88 and 1,561.86

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Solution

The fourth proportional to 5,665.86, 8,498.88 and 1,561.86 is: 2,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.86 : 8,498.88 = 1,561.86 : x
  2. Step 2: Convert to fraction form
    5,665.86/8,498.88 = 1,561.86/x
  3. Step 3: Cross multiply
    5,665.86x = 8,498.88 × 1,561.86
  4. Step 4: Simplify right side
    5,665.86x = 13,274,060.72
  5. Step 5: Solve for x
    x = 13,274,060.72/5,665.86
  6. Step 6: Final answer
    x = 2,342.81

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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.