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Finding the Fourth Proportional to 6,705.90, 10,058.80 and 2,025.90

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Solution

The fourth proportional to 6,705.90, 10,058.80 and 2,025.90 is: 3,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.90 : 10,058.80 = 2,025.90 : x
  2. Step 2: Convert to fraction form
    6,705.90/10,058.80 = 2,025.90/x
  3. Step 3: Cross multiply
    6,705.90x = 10,058.80 × 2,025.90
  4. Step 4: Simplify right side
    6,705.90x = 20,378,122.92
  5. Step 5: Solve for x
    x = 20,378,122.92/6,705.90
  6. Step 6: Final answer
    x = 3,038.83

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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.