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Finding the Fourth Proportional to 4,845.34, 6,640 and 4,378.78

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Solution

The fourth proportional to 4,845.34, 6,640 and 4,378.78 is: 6,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845.34 : 6,640 = 4,378.78 : x
  2. Step 2: Convert to fraction form
    4,845.34/6,640 = 4,378.78/x
  3. Step 3: Cross multiply
    4,845.34x = 6,640 × 4,378.78
  4. Step 4: Simplify right side
    4,845.34x = 29,075,099.20
  5. Step 5: Solve for x
    x = 29,075,099.20/4,845.34
  6. Step 6: Final answer
    x = 6,000.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.