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Finding the Fourth Proportional to 3,953.39, 5,456.23 and 2,274.77

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Solution

The fourth proportional to 3,953.39, 5,456.23 and 2,274.77 is: 3,139.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.39 : 5,456.23 = 2,274.77 : x
  2. Step 2: Convert to fraction form
    3,953.39/5,456.23 = 2,274.77/x
  3. Step 3: Cross multiply
    3,953.39x = 5,456.23 × 2,274.77
  4. Step 4: Simplify right side
    3,953.39x = 12,411,655.81
  5. Step 5: Solve for x
    x = 12,411,655.81/3,953.39
  6. Step 6: Final answer
    x = 3,139.49

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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.