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Finding the Fourth Proportional to 5,646.71, 7,792.74 and 3,408.55

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Solution

The fourth proportional to 5,646.71, 7,792.74 and 3,408.55 is: 4,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.71 : 7,792.74 = 3,408.55 : x
  2. Step 2: Convert to fraction form
    5,646.71/7,792.74 = 3,408.55/x
  3. Step 3: Cross multiply
    5,646.71x = 7,792.74 × 3,408.55
  4. Step 4: Simplify right side
    5,646.71x = 26,561,943.93
  5. Step 5: Solve for x
    x = 26,561,943.93/5,646.71
  6. Step 6: Final answer
    x = 4,703.97

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1.5x scale

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.