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Finding the Fourth Proportional to 4,537.65, 6,802.37 and 3,151.64

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Solution

The fourth proportional to 4,537.65, 6,802.37 and 3,151.64 is: 4,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.65 : 6,802.37 = 3,151.64 : x
  2. Step 2: Convert to fraction form
    4,537.65/6,802.37 = 3,151.64/x
  3. Step 3: Cross multiply
    4,537.65x = 6,802.37 × 3,151.64
  4. Step 4: Simplify right side
    4,537.65x = 21,438,605.63
  5. Step 5: Solve for x
    x = 21,438,605.63/4,537.65
  6. Step 6: Final answer
    x = 4,724.61

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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.