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Finding the Fourth Proportional to 3,927.84, 5,420.57 and 2,355.63

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Solution

The fourth proportional to 3,927.84, 5,420.57 and 2,355.63 is: 3,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.84 : 5,420.57 = 2,355.63 : x
  2. Step 2: Convert to fraction form
    3,927.84/5,420.57 = 2,355.63/x
  3. Step 3: Cross multiply
    3,927.84x = 5,420.57 × 2,355.63
  4. Step 4: Simplify right side
    3,927.84x = 12,768,845.53
  5. Step 5: Solve for x
    x = 12,768,845.53/3,927.84
  6. Step 6: Final answer
    x = 3,250.86

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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.