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Finding the Fourth Proportional to 5,721.77, 8,582.36 and 1,825.88

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Solution

The fourth proportional to 5,721.77, 8,582.36 and 1,825.88 is: 2,738.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.77 : 8,582.36 = 1,825.88 : x
  2. Step 2: Convert to fraction form
    5,721.77/8,582.36 = 1,825.88/x
  3. Step 3: Cross multiply
    5,721.77x = 8,582.36 × 1,825.88
  4. Step 4: Simplify right side
    5,721.77x = 15,670,307.44
  5. Step 5: Solve for x
    x = 15,670,307.44/5,721.77
  6. Step 6: Final answer
    x = 2,738.72

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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.