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Finding the Fourth Proportional to 3,792.90, 5,709.84 and 3,411.45

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Solution

The fourth proportional to 3,792.90, 5,709.84 and 3,411.45 is: 5,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.90 : 5,709.84 = 3,411.45 : x
  2. Step 2: Convert to fraction form
    3,792.90/5,709.84 = 3,411.45/x
  3. Step 3: Cross multiply
    3,792.90x = 5,709.84 × 3,411.45
  4. Step 4: Simplify right side
    3,792.90x = 19,478,833.67
  5. Step 5: Solve for x
    x = 19,478,833.67/3,792.90
  6. Step 6: Final answer
    x = 5,135.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.