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Finding the Fourth Proportional to 6,079, 8,384.32 and 3,840.06

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Solution

The fourth proportional to 6,079, 8,384.32 and 3,840.06 is: 5,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079 : 8,384.32 = 3,840.06 : x
  2. Step 2: Convert to fraction form
    6,079/8,384.32 = 3,840.06/x
  3. Step 3: Cross multiply
    6,079x = 8,384.32 × 3,840.06
  4. Step 4: Simplify right side
    6,079x = 32,196,291.86
  5. Step 5: Solve for x
    x = 32,196,291.86/6,079
  6. Step 6: Final answer
    x = 5,296.31

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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.