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Finding the Fourth Proportional to 4,478.19, 6,684.41 and 4,148.31

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Solution

The fourth proportional to 4,478.19, 6,684.41 and 4,148.31 is: 6,192.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.19 : 6,684.41 = 4,148.31 : x
  2. Step 2: Convert to fraction form
    4,478.19/6,684.41 = 4,148.31/x
  3. Step 3: Cross multiply
    4,478.19x = 6,684.41 × 4,148.31
  4. Step 4: Simplify right side
    4,478.19x = 27,729,004.85
  5. Step 5: Solve for x
    x = 27,729,004.85/4,478.19
  6. Step 6: Final answer
    x = 6,192.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.