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Finding the Fourth Proportional to 5,417.64, 7,472.73 and 3,843

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Solution

The fourth proportional to 5,417.64, 7,472.73 and 3,843 is: 5,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.64 : 7,472.73 = 3,843 : x
  2. Step 2: Convert to fraction form
    5,417.64/7,472.73 = 3,843/x
  3. Step 3: Cross multiply
    5,417.64x = 7,472.73 × 3,843
  4. Step 4: Simplify right side
    5,417.64x = 28,717,701.39
  5. Step 5: Solve for x
    x = 28,717,701.39/5,417.64
  6. Step 6: Final answer
    x = 5,300.78

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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.