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Finding the Fourth Proportional to 5,765.94, 8,617.32 and 4,209.22

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Solution

The fourth proportional to 5,765.94, 8,617.32 and 4,209.22 is: 6,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.94 : 8,617.32 = 4,209.22 : x
  2. Step 2: Convert to fraction form
    5,765.94/8,617.32 = 4,209.22/x
  3. Step 3: Cross multiply
    5,765.94x = 8,617.32 × 4,209.22
  4. Step 4: Simplify right side
    5,765.94x = 36,272,210.30
  5. Step 5: Solve for x
    x = 36,272,210.30/5,765.94
  6. Step 6: Final answer
    x = 6,290.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.