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Finding the Fourth Proportional to 3,186.32, 4,397.15 and 1,927.51

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Solution

The fourth proportional to 3,186.32, 4,397.15 and 1,927.51 is: 2,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.32 : 4,397.15 = 1,927.51 : x
  2. Step 2: Convert to fraction form
    3,186.32/4,397.15 = 1,927.51/x
  3. Step 3: Cross multiply
    3,186.32x = 4,397.15 × 1,927.51
  4. Step 4: Simplify right side
    3,186.32x = 8,475,544.42
  5. Step 5: Solve for x
    x = 8,475,544.42/3,186.32
  6. Step 6: Final answer
    x = 2,659.98

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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.