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Finding the Fourth Proportional to 3,498.99, 5,248.49 and 1,033.77

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Solution

The fourth proportional to 3,498.99, 5,248.49 and 1,033.77 is: 1,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.99 : 5,248.49 = 1,033.77 : x
  2. Step 2: Convert to fraction form
    3,498.99/5,248.49 = 1,033.77/x
  3. Step 3: Cross multiply
    3,498.99x = 5,248.49 × 1,033.77
  4. Step 4: Simplify right side
    3,498.99x = 5,425,726.34
  5. Step 5: Solve for x
    x = 5,425,726.34/3,498.99
  6. Step 6: Final answer
    x = 1,550.66

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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.