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Finding the Fourth Proportional to 5,690.63, 8,535.86 and 3,470.12

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Solution

The fourth proportional to 5,690.63, 8,535.86 and 3,470.12 is: 5,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.63 : 8,535.86 = 3,470.12 : x
  2. Step 2: Convert to fraction form
    5,690.63/8,535.86 = 3,470.12/x
  3. Step 3: Cross multiply
    5,690.63x = 8,535.86 × 3,470.12
  4. Step 4: Simplify right side
    5,690.63x = 29,620,415.82
  5. Step 5: Solve for x
    x = 29,620,415.82/5,690.63
  6. Step 6: Final answer
    x = 5,205.12

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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.