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Finding the Fourth Proportional to 3,587.70, 5,371.57 and 1,828.91

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Solution

The fourth proportional to 3,587.70, 5,371.57 and 1,828.91 is: 2,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.70 : 5,371.57 = 1,828.91 : x
  2. Step 2: Convert to fraction form
    3,587.70/5,371.57 = 1,828.91/x
  3. Step 3: Cross multiply
    3,587.70x = 5,371.57 × 1,828.91
  4. Step 4: Simplify right side
    3,587.70x = 9,824,133.80
  5. Step 5: Solve for x
    x = 9,824,133.80/3,587.70
  6. Step 6: Final answer
    x = 2,738.28

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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.