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Finding the Fourth Proportional to 4,202.08, 5,800.80 and 3,083.08

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Solution

The fourth proportional to 4,202.08, 5,800.80 and 3,083.08 is: 4,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.08 : 5,800.80 = 3,083.08 : x
  2. Step 2: Convert to fraction form
    4,202.08/5,800.80 = 3,083.08/x
  3. Step 3: Cross multiply
    4,202.08x = 5,800.80 × 3,083.08
  4. Step 4: Simplify right side
    4,202.08x = 17,884,330.46
  5. Step 5: Solve for x
    x = 17,884,330.46/4,202.08
  6. Step 6: Final answer
    x = 4,256.07

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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.