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Finding the Fourth Proportional to 3,369.48, 5,053.50 and 1,028.98

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Solution

The fourth proportional to 3,369.48, 5,053.50 and 1,028.98 is: 1,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.48 : 5,053.50 = 1,028.98 : x
  2. Step 2: Convert to fraction form
    3,369.48/5,053.50 = 1,028.98/x
  3. Step 3: Cross multiply
    3,369.48x = 5,053.50 × 1,028.98
  4. Step 4: Simplify right side
    3,369.48x = 5,199,950.43
  5. Step 5: Solve for x
    x = 5,199,950.43/3,369.48
  6. Step 6: Final answer
    x = 1,543.25

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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.