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Finding the Fourth Proportional to 3,720.65, 5,580.80 and 1,640.09

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Solution

The fourth proportional to 3,720.65, 5,580.80 and 1,640.09 is: 2,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.65 : 5,580.80 = 1,640.09 : x
  2. Step 2: Convert to fraction form
    3,720.65/5,580.80 = 1,640.09/x
  3. Step 3: Cross multiply
    3,720.65x = 5,580.80 × 1,640.09
  4. Step 4: Simplify right side
    3,720.65x = 9,153,006.07
  5. Step 5: Solve for x
    x = 9,153,006.07/3,720.65
  6. Step 6: Final answer
    x = 2,460.06

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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.