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Finding the Fourth Proportional to 4,677.66, 6,998.67 and 4,159.26

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Solution

The fourth proportional to 4,677.66, 6,998.67 and 4,159.26 is: 6,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.66 : 6,998.67 = 4,159.26 : x
  2. Step 2: Convert to fraction form
    4,677.66/6,998.67 = 4,159.26/x
  3. Step 3: Cross multiply
    4,677.66x = 6,998.67 × 4,159.26
  4. Step 4: Simplify right side
    4,677.66x = 29,109,288.18
  5. Step 5: Solve for x
    x = 29,109,288.18/4,677.66
  6. Step 6: Final answer
    x = 6,223.04

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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.