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Finding the Fourth Proportional to 3,519.90, 5,278.77 and 1,053.99

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Solution

The fourth proportional to 3,519.90, 5,278.77 and 1,053.99 is: 1,580.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.90 : 5,278.77 = 1,053.99 : x
  2. Step 2: Convert to fraction form
    3,519.90/5,278.77 = 1,053.99/x
  3. Step 3: Cross multiply
    3,519.90x = 5,278.77 × 1,053.99
  4. Step 4: Simplify right side
    3,519.90x = 5,563,770.79
  5. Step 5: Solve for x
    x = 5,563,770.79/3,519.90
  6. Step 6: Final answer
    x = 1,580.66

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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.