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Finding the Fourth Proportional to 3,675.64, 5,513.76 and 1,726.78

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Solution

The fourth proportional to 3,675.64, 5,513.76 and 1,726.78 is: 2,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.64 : 5,513.76 = 1,726.78 : x
  2. Step 2: Convert to fraction form
    3,675.64/5,513.76 = 1,726.78/x
  3. Step 3: Cross multiply
    3,675.64x = 5,513.76 × 1,726.78
  4. Step 4: Simplify right side
    3,675.64x = 9,521,050.49
  5. Step 5: Solve for x
    x = 9,521,050.49/3,675.64
  6. Step 6: Final answer
    x = 2,590.31

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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.