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Finding the Fourth Proportional to 5,309.66, 7,964.22 and 1,798.32

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Solution

The fourth proportional to 5,309.66, 7,964.22 and 1,798.32 is: 2,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.66 : 7,964.22 = 1,798.32 : x
  2. Step 2: Convert to fraction form
    5,309.66/7,964.22 = 1,798.32/x
  3. Step 3: Cross multiply
    5,309.66x = 7,964.22 × 1,798.32
  4. Step 4: Simplify right side
    5,309.66x = 14,322,216.11
  5. Step 5: Solve for x
    x = 14,322,216.11/5,309.66
  6. Step 6: Final answer
    x = 2,697.39

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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.