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Finding the Fourth Proportional to 6,001.64, 8,282.30 and 3,349.16

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Solution

The fourth proportional to 6,001.64, 8,282.30 and 3,349.16 is: 4,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.64 : 8,282.30 = 3,349.16 : x
  2. Step 2: Convert to fraction form
    6,001.64/8,282.30 = 3,349.16/x
  3. Step 3: Cross multiply
    6,001.64x = 8,282.30 × 3,349.16
  4. Step 4: Simplify right side
    6,001.64x = 27,738,689.71
  5. Step 5: Solve for x
    x = 27,738,689.71/6,001.64
  6. Step 6: Final answer
    x = 4,621.86

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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.