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Finding the Fourth Proportional to 6,164.60, 8,506.49 and 3,646.85

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Solution

The fourth proportional to 6,164.60, 8,506.49 and 3,646.85 is: 5,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.60 : 8,506.49 = 3,646.85 : x
  2. Step 2: Convert to fraction form
    6,164.60/8,506.49 = 3,646.85/x
  3. Step 3: Cross multiply
    6,164.60x = 8,506.49 × 3,646.85
  4. Step 4: Simplify right side
    6,164.60x = 31,021,832.29
  5. Step 5: Solve for x
    x = 31,021,832.29/6,164.60
  6. Step 6: Final answer
    x = 5,032.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.