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Finding the Fourth Proportional to 5,971.83, 8,241.95 and 4,298.77

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Solution

The fourth proportional to 5,971.83, 8,241.95 and 4,298.77 is: 5,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.83 : 8,241.95 = 4,298.77 : x
  2. Step 2: Convert to fraction form
    5,971.83/8,241.95 = 4,298.77/x
  3. Step 3: Cross multiply
    5,971.83x = 8,241.95 × 4,298.77
  4. Step 4: Simplify right side
    5,971.83x = 35,430,268.45
  5. Step 5: Solve for x
    x = 35,430,268.45/5,971.83
  6. Step 6: Final answer
    x = 5,932.90

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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.