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Finding the Fourth Proportional to 3,898.98, 5,364.23 and 3,402.77

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Solution

The fourth proportional to 3,898.98, 5,364.23 and 3,402.77 is: 4,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.98 : 5,364.23 = 3,402.77 : x
  2. Step 2: Convert to fraction form
    3,898.98/5,364.23 = 3,402.77/x
  3. Step 3: Cross multiply
    3,898.98x = 5,364.23 × 3,402.77
  4. Step 4: Simplify right side
    3,898.98x = 18,253,197.08
  5. Step 5: Solve for x
    x = 18,253,197.08/3,898.98
  6. Step 6: Final answer
    x = 4,681.53

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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.