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Finding the Fourth Proportional to 6,079.42, 8,390.64 and 3,840.58

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Solution

The fourth proportional to 6,079.42, 8,390.64 and 3,840.58 is: 5,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.42 : 8,390.64 = 3,840.58 : x
  2. Step 2: Convert to fraction form
    6,079.42/8,390.64 = 3,840.58/x
  3. Step 3: Cross multiply
    6,079.42x = 8,390.64 × 3,840.58
  4. Step 4: Simplify right side
    6,079.42x = 32,224,924.17
  5. Step 5: Solve for x
    x = 32,224,924.17/6,079.42
  6. Step 6: Final answer
    x = 5,300.66

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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.