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Finding the Fourth Proportional to 3,287.71, 4,537.07 and 1,795.60

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Solution

The fourth proportional to 3,287.71, 4,537.07 and 1,795.60 is: 2,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.71 : 4,537.07 = 1,795.60 : x
  2. Step 2: Convert to fraction form
    3,287.71/4,537.07 = 1,795.60/x
  3. Step 3: Cross multiply
    3,287.71x = 4,537.07 × 1,795.60
  4. Step 4: Simplify right side
    3,287.71x = 8,146,762.89
  5. Step 5: Solve for x
    x = 8,146,762.89/3,287.71
  6. Step 6: Final answer
    x = 2,477.94

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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.