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Finding the Fourth Proportional to 3,864.68, 5,333.02 and 2,186.45

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Solution

The fourth proportional to 3,864.68, 5,333.02 and 2,186.45 is: 3,017.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.68 : 5,333.02 = 2,186.45 : x
  2. Step 2: Convert to fraction form
    3,864.68/5,333.02 = 2,186.45/x
  3. Step 3: Cross multiply
    3,864.68x = 5,333.02 × 2,186.45
  4. Step 4: Simplify right side
    3,864.68x = 11,660,343.98
  5. Step 5: Solve for x
    x = 11,660,343.98/3,864.68
  6. Step 6: Final answer
    x = 3,017.16

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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.