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Finding the Fourth Proportional to 3,792.90, 5,684.88 and 1,710.48

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Solution

The fourth proportional to 3,792.90, 5,684.88 and 1,710.48 is: 2,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.90 : 5,684.88 = 1,710.48 : x
  2. Step 2: Convert to fraction form
    3,792.90/5,684.88 = 1,710.48/x
  3. Step 3: Cross multiply
    3,792.90x = 5,684.88 × 1,710.48
  4. Step 4: Simplify right side
    3,792.90x = 9,723,873.54
  5. Step 5: Solve for x
    x = 9,723,873.54/3,792.90
  6. Step 6: Final answer
    x = 2,563.70

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Why These Related Problems?

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