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Finding the Fourth Proportional to 5,203.28, 7,805.07 and 1,307.76

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Solution

The fourth proportional to 5,203.28, 7,805.07 and 1,307.76 is: 1,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.28 : 7,805.07 = 1,307.76 : x
  2. Step 2: Convert to fraction form
    5,203.28/7,805.07 = 1,307.76/x
  3. Step 3: Cross multiply
    5,203.28x = 7,805.07 × 1,307.76
  4. Step 4: Simplify right side
    5,203.28x = 10,207,158.34
  5. Step 5: Solve for x
    x = 10,207,158.34/5,203.28
  6. Step 6: Final answer
    x = 1,961.68

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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.