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Finding the Fourth Proportional to 5,261.02, 7,892.07 and 1,798.54

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Solution

The fourth proportional to 5,261.02, 7,892.07 and 1,798.54 is: 2,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.02 : 7,892.07 = 1,798.54 : x
  2. Step 2: Convert to fraction form
    5,261.02/7,892.07 = 1,798.54/x
  3. Step 3: Cross multiply
    5,261.02x = 7,892.07 × 1,798.54
  4. Step 4: Simplify right side
    5,261.02x = 14,194,203.58
  5. Step 5: Solve for x
    x = 14,194,203.58/5,261.02
  6. Step 6: Final answer
    x = 2,697.99

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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.