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Finding the Fourth Proportional to 5,707.62, 8,562.44 and 2,012.00

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Solution

The fourth proportional to 5,707.62, 8,562.44 and 2,012.00 is: 3,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.62 : 8,562.44 = 2,012.00 : x
  2. Step 2: Convert to fraction form
    5,707.62/8,562.44 = 2,012.00/x
  3. Step 3: Cross multiply
    5,707.62x = 8,562.44 × 2,012.00
  4. Step 4: Simplify right side
    5,707.62x = 17,227,591.50
  5. Step 5: Solve for x
    x = 17,227,591.50/5,707.62
  6. Step 6: Final answer
    x = 3,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.