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Finding the Fourth Proportional to 6,001.04, 8,282.04 and 3,643.40

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Solution

The fourth proportional to 6,001.04, 8,282.04 and 3,643.40 is: 5,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.04 : 8,282.04 = 3,643.40 : x
  2. Step 2: Convert to fraction form
    6,001.04/8,282.04 = 3,643.40/x
  3. Step 3: Cross multiply
    6,001.04x = 8,282.04 × 3,643.40
  4. Step 4: Simplify right side
    6,001.04x = 30,174,784.54
  5. Step 5: Solve for x
    x = 30,174,784.54/6,001.04
  6. Step 6: Final answer
    x = 5,028.26

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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.