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Finding the Fourth Proportional to 5,800.68, 7,998.89 and 3,442.37

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Solution

The fourth proportional to 5,800.68, 7,998.89 and 3,442.37 is: 4,746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.68 : 7,998.89 = 3,442.37 : x
  2. Step 2: Convert to fraction form
    5,800.68/7,998.89 = 3,442.37/x
  3. Step 3: Cross multiply
    5,800.68x = 7,998.89 × 3,442.37
  4. Step 4: Simplify right side
    5,800.68x = 27,535,088.22
  5. Step 5: Solve for x
    x = 27,535,088.22/5,800.68
  6. Step 6: Final answer
    x = 4,746.87

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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.