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Finding the Fourth Proportional to 5,203, 7,802.28 and 3,013.24

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Solution

The fourth proportional to 5,203, 7,802.28 and 3,013.24 is: 4,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203 : 7,802.28 = 3,013.24 : x
  2. Step 2: Convert to fraction form
    5,203/7,802.28 = 3,013.24/x
  3. Step 3: Cross multiply
    5,203x = 7,802.28 × 3,013.24
  4. Step 4: Simplify right side
    5,203x = 23,510,142.19
  5. Step 5: Solve for x
    x = 23,510,142.19/5,203
  6. Step 6: Final answer
    x = 4,518.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.