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Finding the Fourth Proportional to 3,894.88, 5,374.85 and 2,126.50

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Solution

The fourth proportional to 3,894.88, 5,374.85 and 2,126.50 is: 2,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.88 : 5,374.85 = 2,126.50 : x
  2. Step 2: Convert to fraction form
    3,894.88/5,374.85 = 2,126.50/x
  3. Step 3: Cross multiply
    3,894.88x = 5,374.85 × 2,126.50
  4. Step 4: Simplify right side
    3,894.88x = 11,429,610.40
  5. Step 5: Solve for x
    x = 11,429,610.40/3,894.88
  6. Step 6: Final answer
    x = 2,934.52

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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.