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Finding the Fourth Proportional to 5,975.58, 8,242.05 and 3,985.14

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Solution

The fourth proportional to 5,975.58, 8,242.05 and 3,985.14 is: 5,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.58 : 8,242.05 = 3,985.14 : x
  2. Step 2: Convert to fraction form
    5,975.58/8,242.05 = 3,985.14/x
  3. Step 3: Cross multiply
    5,975.58x = 8,242.05 × 3,985.14
  4. Step 4: Simplify right side
    5,975.58x = 32,845,723.14
  5. Step 5: Solve for x
    x = 32,845,723.14/5,975.58
  6. Step 6: Final answer
    x = 5,496.66

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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.