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Finding the Fourth Proportional to 4,624.75, 6,952.16 and 3,710.31

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Solution

The fourth proportional to 4,624.75, 6,952.16 and 3,710.31 is: 5,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.75 : 6,952.16 = 3,710.31 : x
  2. Step 2: Convert to fraction form
    4,624.75/6,952.16 = 3,710.31/x
  3. Step 3: Cross multiply
    4,624.75x = 6,952.16 × 3,710.31
  4. Step 4: Simplify right side
    4,624.75x = 25,794,615.46
  5. Step 5: Solve for x
    x = 25,794,615.46/4,624.75
  6. Step 6: Final answer
    x = 5,577.52

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