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Finding the Fourth Proportional to 6,152.68, 9,215.14 and 2,858.84

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Solution

The fourth proportional to 6,152.68, 9,215.14 and 2,858.84 is: 4,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.68 : 9,215.14 = 2,858.84 : x
  2. Step 2: Convert to fraction form
    6,152.68/9,215.14 = 2,858.84/x
  3. Step 3: Cross multiply
    6,152.68x = 9,215.14 × 2,858.84
  4. Step 4: Simplify right side
    6,152.68x = 26,344,610.84
  5. Step 5: Solve for x
    x = 26,344,610.84/6,152.68
  6. Step 6: Final answer
    x = 4,281.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.