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Finding the Fourth Proportional to 5,605.89, 8,409.31 and 1,445.86

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Solution

The fourth proportional to 5,605.89, 8,409.31 and 1,445.86 is: 2,168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.89 : 8,409.31 = 1,445.86 : x
  2. Step 2: Convert to fraction form
    5,605.89/8,409.31 = 1,445.86/x
  3. Step 3: Cross multiply
    5,605.89x = 8,409.31 × 1,445.86
  4. Step 4: Simplify right side
    5,605.89x = 12,158,642.91
  5. Step 5: Solve for x
    x = 12,158,642.91/5,605.89
  6. Step 6: Final answer
    x = 2,168.91

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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.