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Finding the Fourth Proportional to 3,028.83, 4,543.38 and 837.51

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Solution

The fourth proportional to 3,028.83, 4,543.38 and 837.51 is: 1,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.83 : 4,543.38 = 837.51 : x
  2. Step 2: Convert to fraction form
    3,028.83/4,543.38 = 837.51/x
  3. Step 3: Cross multiply
    3,028.83x = 4,543.38 × 837.51
  4. Step 4: Simplify right side
    3,028.83x = 3,805,126.18
  5. Step 5: Solve for x
    x = 3,805,126.18/3,028.83
  6. Step 6: Final answer
    x = 1,256.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.