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Finding the Fourth Proportional to 5,971.56, 8,241.66 and 4,298.51

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Solution

The fourth proportional to 5,971.56, 8,241.66 and 4,298.51 is: 5,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.56 : 8,241.66 = 4,298.51 : x
  2. Step 2: Convert to fraction form
    5,971.56/8,241.66 = 4,298.51/x
  3. Step 3: Cross multiply
    5,971.56x = 8,241.66 × 4,298.51
  4. Step 4: Simplify right side
    5,971.56x = 35,426,857.93
  5. Step 5: Solve for x
    x = 35,426,857.93/5,971.56
  6. Step 6: Final answer
    x = 5,932.60

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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.