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Finding the Fourth Proportional to 5,648.06, 8,462.21 and 3,009.99

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Solution

The fourth proportional to 5,648.06, 8,462.21 and 3,009.99 is: 4,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.06 : 8,462.21 = 3,009.99 : x
  2. Step 2: Convert to fraction form
    5,648.06/8,462.21 = 3,009.99/x
  3. Step 3: Cross multiply
    5,648.06x = 8,462.21 × 3,009.99
  4. Step 4: Simplify right side
    5,648.06x = 25,471,184.16
  5. Step 5: Solve for x
    x = 25,471,184.16/5,648.06
  6. Step 6: Final answer
    x = 4,509.72

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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.