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Finding the Fourth Proportional to 4,189.68, 6,311.70 and 3,985.92

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Solution

The fourth proportional to 4,189.68, 6,311.70 and 3,985.92 is: 6,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.68 : 6,311.70 = 3,985.92 : x
  2. Step 2: Convert to fraction form
    4,189.68/6,311.70 = 3,985.92/x
  3. Step 3: Cross multiply
    4,189.68x = 6,311.70 × 3,985.92
  4. Step 4: Simplify right side
    4,189.68x = 25,157,931.26
  5. Step 5: Solve for x
    x = 25,157,931.26/4,189.68
  6. Step 6: Final answer
    x = 6,004.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.