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Finding the Fourth Proportional to 3,864.51, 5,333.04 and 2,270.70

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Solution

The fourth proportional to 3,864.51, 5,333.04 and 2,270.70 is: 3,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.51 : 5,333.04 = 2,270.70 : x
  2. Step 2: Convert to fraction form
    3,864.51/5,333.04 = 2,270.70/x
  3. Step 3: Cross multiply
    3,864.51x = 5,333.04 × 2,270.70
  4. Step 4: Simplify right side
    3,864.51x = 12,109,733.93
  5. Step 5: Solve for x
    x = 12,109,733.93/3,864.51
  6. Step 6: Final answer
    x = 3,133.58

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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.