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Finding the Fourth Proportional to 3,186.48, 4,397.40 and 1,927.32

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Solution

The fourth proportional to 3,186.48, 4,397.40 and 1,927.32 is: 2,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.48 : 4,397.40 = 1,927.32 : x
  2. Step 2: Convert to fraction form
    3,186.48/4,397.40 = 1,927.32/x
  3. Step 3: Cross multiply
    3,186.48x = 4,397.40 × 1,927.32
  4. Step 4: Simplify right side
    3,186.48x = 8,475,196.97
  5. Step 5: Solve for x
    x = 8,475,196.97/3,186.48
  6. Step 6: Final answer
    x = 2,659.74

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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.