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Finding the Fourth Proportional to 6,585.33, 9,881.88 and 2,428.23

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Solution

The fourth proportional to 6,585.33, 9,881.88 and 2,428.23 is: 3,643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.33 : 9,881.88 = 2,428.23 : x
  2. Step 2: Convert to fraction form
    6,585.33/9,881.88 = 2,428.23/x
  3. Step 3: Cross multiply
    6,585.33x = 9,881.88 × 2,428.23
  4. Step 4: Simplify right side
    6,585.33x = 23,995,477.47
  5. Step 5: Solve for x
    x = 23,995,477.47/6,585.33
  6. Step 6: Final answer
    x = 3,643.78

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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.