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Finding the Fourth Proportional to 4,802.30, 7,199.19 and 1,882.70

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Solution

The fourth proportional to 4,802.30, 7,199.19 and 1,882.70 is: 2,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.30 : 7,199.19 = 1,882.70 : x
  2. Step 2: Convert to fraction form
    4,802.30/7,199.19 = 1,882.70/x
  3. Step 3: Cross multiply
    4,802.30x = 7,199.19 × 1,882.70
  4. Step 4: Simplify right side
    4,802.30x = 13,553,915.01
  5. Step 5: Solve for x
    x = 13,553,915.01/4,802.30
  6. Step 6: Final answer
    x = 2,822.38

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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.