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Finding the Fourth Proportional to 5,197.76, 7,796.69 and 1,302.18

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Solution

The fourth proportional to 5,197.76, 7,796.69 and 1,302.18 is: 1,953.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.76 : 7,796.69 = 1,302.18 : x
  2. Step 2: Convert to fraction form
    5,197.76/7,796.69 = 1,302.18/x
  3. Step 3: Cross multiply
    5,197.76x = 7,796.69 × 1,302.18
  4. Step 4: Simplify right side
    5,197.76x = 10,152,693.78
  5. Step 5: Solve for x
    x = 10,152,693.78/5,197.76
  6. Step 6: Final answer
    x = 1,953.28

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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.