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Finding the Fourth Proportional to 6,580.10, 9,080.54 and 3,785.60

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Solution

The fourth proportional to 6,580.10, 9,080.54 and 3,785.60 is: 5,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.10 : 9,080.54 = 3,785.60 : x
  2. Step 2: Convert to fraction form
    6,580.10/9,080.54 = 3,785.60/x
  3. Step 3: Cross multiply
    6,580.10x = 9,080.54 × 3,785.60
  4. Step 4: Simplify right side
    6,580.10x = 34,375,292.22
  5. Step 5: Solve for x
    x = 34,375,292.22/6,580.10
  6. Step 6: Final answer
    x = 5,224.13

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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.