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Finding the Fourth Proportional to 5,303.09, 7,951.48 and 2,016.43

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Solution

The fourth proportional to 5,303.09, 7,951.48 and 2,016.43 is: 3,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.09 : 7,951.48 = 2,016.43 : x
  2. Step 2: Convert to fraction form
    5,303.09/7,951.48 = 2,016.43/x
  3. Step 3: Cross multiply
    5,303.09x = 7,951.48 × 2,016.43
  4. Step 4: Simplify right side
    5,303.09x = 16,033,602.82
  5. Step 5: Solve for x
    x = 16,033,602.82/5,303.09
  6. Step 6: Final answer
    x = 3,023.45

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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.