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Finding the Fourth Proportional to 4,169.25, 6,245.64 and 3,130.47

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Solution

The fourth proportional to 4,169.25, 6,245.64 and 3,130.47 is: 4,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.25 : 6,245.64 = 3,130.47 : x
  2. Step 2: Convert to fraction form
    4,169.25/6,245.64 = 3,130.47/x
  3. Step 3: Cross multiply
    4,169.25x = 6,245.64 × 3,130.47
  4. Step 4: Simplify right side
    4,169.25x = 19,551,788.65
  5. Step 5: Solve for x
    x = 19,551,788.65/4,169.25
  6. Step 6: Final answer
    x = 4,689.52

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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.