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Finding the Fourth Proportional to 5,660.45, 8,478.28 and 4,012.00

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Solution

The fourth proportional to 5,660.45, 8,478.28 and 4,012.00 is: 6,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.45 : 8,478.28 = 4,012.00 : x
  2. Step 2: Convert to fraction form
    5,660.45/8,478.28 = 4,012.00/x
  3. Step 3: Cross multiply
    5,660.45x = 8,478.28 × 4,012.00
  4. Step 4: Simplify right side
    5,660.45x = 34,014,843.18
  5. Step 5: Solve for x
    x = 34,014,843.18/5,660.45
  6. Step 6: Final answer
    x = 6,009.21

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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.