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Finding the Fourth Proportional to 3,894.86, 5,374.88 and 2,126.46

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Solution

The fourth proportional to 3,894.86, 5,374.88 and 2,126.46 is: 2,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.86 : 5,374.88 = 2,126.46 : x
  2. Step 2: Convert to fraction form
    3,894.86/5,374.88 = 2,126.46/x
  3. Step 3: Cross multiply
    3,894.86x = 5,374.88 × 2,126.46
  4. Step 4: Simplify right side
    3,894.86x = 11,429,456.69
  5. Step 5: Solve for x
    x = 11,429,456.69/3,894.86
  6. Step 6: Final answer
    x = 2,934.50

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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.