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Finding the Fourth Proportional to 5,203.05, 7,804.50 and 1,307.43

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Solution

The fourth proportional to 5,203.05, 7,804.50 and 1,307.43 is: 1,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.05 : 7,804.50 = 1,307.43 : x
  2. Step 2: Convert to fraction form
    5,203.05/7,804.50 = 1,307.43/x
  3. Step 3: Cross multiply
    5,203.05x = 7,804.50 × 1,307.43
  4. Step 4: Simplify right side
    5,203.05x = 10,203,837.44
  5. Step 5: Solve for x
    x = 10,203,837.44/5,203.05
  6. Step 6: Final answer
    x = 1,961.13

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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.