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Finding the Fourth Proportional to 5,197.64, 7,796.46 and 1,302.05

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Solution

The fourth proportional to 5,197.64, 7,796.46 and 1,302.05 is: 1,953.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.64 : 7,796.46 = 1,302.05 : x
  2. Step 2: Convert to fraction form
    5,197.64/7,796.46 = 1,302.05/x
  3. Step 3: Cross multiply
    5,197.64x = 7,796.46 × 1,302.05
  4. Step 4: Simplify right side
    5,197.64x = 10,151,341.76
  5. Step 5: Solve for x
    x = 10,151,341.76/5,197.64
  6. Step 6: Final answer
    x = 1,953.07

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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.