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Finding the Fourth Proportional to 5,624.82, 7,762.20 and 3,107.08

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Solution

The fourth proportional to 5,624.82, 7,762.20 and 3,107.08 is: 4,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.82 : 7,762.20 = 3,107.08 : x
  2. Step 2: Convert to fraction form
    5,624.82/7,762.20 = 3,107.08/x
  3. Step 3: Cross multiply
    5,624.82x = 7,762.20 × 3,107.08
  4. Step 4: Simplify right side
    5,624.82x = 24,117,776.38
  5. Step 5: Solve for x
    x = 24,117,776.38/5,624.82
  6. Step 6: Final answer
    x = 4,287.74

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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.