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Finding the Fourth Proportional to 6,640.60, 9,164.07 and 3,656.29

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Solution

The fourth proportional to 6,640.60, 9,164.07 and 3,656.29 is: 5,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.60 : 9,164.07 = 3,656.29 : x
  2. Step 2: Convert to fraction form
    6,640.60/9,164.07 = 3,656.29/x
  3. Step 3: Cross multiply
    6,640.60x = 9,164.07 × 3,656.29
  4. Step 4: Simplify right side
    6,640.60x = 33,506,497.50
  5. Step 5: Solve for x
    x = 33,506,497.50/6,640.60
  6. Step 6: Final answer
    x = 5,045.70

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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.