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Finding the Fourth Proportional to 4,466.31, 6,702.54 and 1,544.62

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Solution

The fourth proportional to 4,466.31, 6,702.54 and 1,544.62 is: 2,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.31 : 6,702.54 = 1,544.62 : x
  2. Step 2: Convert to fraction form
    4,466.31/6,702.54 = 1,544.62/x
  3. Step 3: Cross multiply
    4,466.31x = 6,702.54 × 1,544.62
  4. Step 4: Simplify right side
    4,466.31x = 10,352,877.33
  5. Step 5: Solve for x
    x = 10,352,877.33/4,466.31
  6. Step 6: Final answer
    x = 2,317.99

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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.