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Finding the Fourth Proportional to 4,396.34, 6,065.25 and 2,825.30

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Solution

The fourth proportional to 4,396.34, 6,065.25 and 2,825.30 is: 3,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,396.34 : 6,065.25 = 2,825.30 : x
  2. Step 2: Convert to fraction form
    4,396.34/6,065.25 = 2,825.30/x
  3. Step 3: Cross multiply
    4,396.34x = 6,065.25 × 2,825.30
  4. Step 4: Simplify right side
    4,396.34x = 17,136,150.83
  5. Step 5: Solve for x
    x = 17,136,150.83/4,396.34
  6. Step 6: Final answer
    x = 3,897.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.