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Finding the Fourth Proportional to 5,690.63, 7,849.86 and 3,562.47

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Solution

The fourth proportional to 5,690.63, 7,849.86 and 3,562.47 is: 4,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.63 : 7,849.86 = 3,562.47 : x
  2. Step 2: Convert to fraction form
    5,690.63/7,849.86 = 3,562.47/x
  3. Step 3: Cross multiply
    5,690.63x = 7,849.86 × 3,562.47
  4. Step 4: Simplify right side
    5,690.63x = 27,964,890.75
  5. Step 5: Solve for x
    x = 27,964,890.75/5,690.63
  6. Step 6: Final answer
    x = 4,914.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.