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Finding the Fourth Proportional to 6,001.56, 8,284.68 and 3,644.46

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Solution

The fourth proportional to 6,001.56, 8,284.68 and 3,644.46 is: 5,030.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.56 : 8,284.68 = 3,644.46 : x
  2. Step 2: Convert to fraction form
    6,001.56/8,284.68 = 3,644.46/x
  3. Step 3: Cross multiply
    6,001.56x = 8,284.68 × 3,644.46
  4. Step 4: Simplify right side
    6,001.56x = 30,193,184.87
  5. Step 5: Solve for x
    x = 30,193,184.87/6,001.56
  6. Step 6: Final answer
    x = 5,030.89

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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.