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Finding the Fourth Proportional to 5,203.20, 7,805.07 and 1,307.91

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Solution

The fourth proportional to 5,203.20, 7,805.07 and 1,307.91 is: 1,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.20 : 7,805.07 = 1,307.91 : x
  2. Step 2: Convert to fraction form
    5,203.20/7,805.07 = 1,307.91/x
  3. Step 3: Cross multiply
    5,203.20x = 7,805.07 × 1,307.91
  4. Step 4: Simplify right side
    5,203.20x = 10,208,329.10
  5. Step 5: Solve for x
    x = 10,208,329.10/5,203.20
  6. Step 6: Final answer
    x = 1,961.93

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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.