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Finding the Fourth Proportional to 3,028.90, 4,543.34 and 837.62

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Solution

The fourth proportional to 3,028.90, 4,543.34 and 837.62 is: 1,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.90 : 4,543.34 = 837.62 : x
  2. Step 2: Convert to fraction form
    3,028.90/4,543.34 = 837.62/x
  3. Step 3: Cross multiply
    3,028.90x = 4,543.34 × 837.62
  4. Step 4: Simplify right side
    3,028.90x = 3,805,592.45
  5. Step 5: Solve for x
    x = 3,805,592.45/3,028.90
  6. Step 6: Final answer
    x = 1,256.43

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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.