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Finding the Fourth Proportional to 5,265.36, 7,902.82 and 2,802.24

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Solution

The fourth proportional to 5,265.36, 7,902.82 and 2,802.24 is: 4,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.36 : 7,902.82 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    5,265.36/7,902.82 = 2,802.24/x
  3. Step 3: Cross multiply
    5,265.36x = 7,902.82 × 2,802.24
  4. Step 4: Simplify right side
    5,265.36x = 22,145,598.32
  5. Step 5: Solve for x
    x = 22,145,598.32/5,265.36
  6. Step 6: Final answer
    x = 4,205.90

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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.