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Finding the Fourth Proportional to 5,728.20, 8,596.14 and 2,030.40

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Solution

The fourth proportional to 5,728.20, 8,596.14 and 2,030.40 is: 3,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.20 : 8,596.14 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    5,728.20/8,596.14 = 2,030.40/x
  3. Step 3: Cross multiply
    5,728.20x = 8,596.14 × 2,030.40
  4. Step 4: Simplify right side
    5,728.20x = 17,453,602.66
  5. Step 5: Solve for x
    x = 17,453,602.66/5,728.20
  6. Step 6: Final answer
    x = 3,046.96

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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.