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Finding the Fourth Proportional to 6,048, 8,337.60 and 4,283.64

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Solution

The fourth proportional to 6,048, 8,337.60 and 4,283.64 is: 5,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 8,337.60 = 4,283.64 : x
  2. Step 2: Convert to fraction form
    6,048/8,337.60 = 4,283.64/x
  3. Step 3: Cross multiply
    6,048x = 8,337.60 × 4,283.64
  4. Step 4: Simplify right side
    6,048x = 35,715,276.86
  5. Step 5: Solve for x
    x = 35,715,276.86/6,048
  6. Step 6: Final answer
    x = 5,905.30

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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.