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Finding the Fourth Proportional to 6,148.58, 9,219.42 and 3,021.84

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Solution

The fourth proportional to 6,148.58, 9,219.42 and 3,021.84 is: 4,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.58 : 9,219.42 = 3,021.84 : x
  2. Step 2: Convert to fraction form
    6,148.58/9,219.42 = 3,021.84/x
  3. Step 3: Cross multiply
    6,148.58x = 9,219.42 × 3,021.84
  4. Step 4: Simplify right side
    6,148.58x = 27,859,612.13
  5. Step 5: Solve for x
    x = 27,859,612.13/6,148.58
  6. Step 6: Final answer
    x = 4,531.07

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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.