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Finding the Fourth Proportional to 5,341.74, 8,012.38 and 1,644.35

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Solution

The fourth proportional to 5,341.74, 8,012.38 and 1,644.35 is: 2,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.74 : 8,012.38 = 1,644.35 : x
  2. Step 2: Convert to fraction form
    5,341.74/8,012.38 = 1,644.35/x
  3. Step 3: Cross multiply
    5,341.74x = 8,012.38 × 1,644.35
  4. Step 4: Simplify right side
    5,341.74x = 13,175,112.88
  5. Step 5: Solve for x
    x = 13,175,112.88/5,341.74
  6. Step 6: Final answer
    x = 2,466.45

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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.