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Finding the Fourth Proportional to 3,416.33, 4,733.45 and 3,342.53

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Solution

The fourth proportional to 3,416.33, 4,733.45 and 3,342.53 is: 4,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.33 : 4,733.45 = 3,342.53 : x
  2. Step 2: Convert to fraction form
    3,416.33/4,733.45 = 3,342.53/x
  3. Step 3: Cross multiply
    3,416.33x = 4,733.45 × 3,342.53
  4. Step 4: Simplify right side
    3,416.33x = 15,821,698.63
  5. Step 5: Solve for x
    x = 15,821,698.63/3,416.33
  6. Step 6: Final answer
    x = 4,631.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.