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Finding the Fourth Proportional to 3,416.48, 4,736.48 and 3,296.36

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Solution

The fourth proportional to 3,416.48, 4,736.48 and 3,296.36 is: 4,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.48 : 4,736.48 = 3,296.36 : x
  2. Step 2: Convert to fraction form
    3,416.48/4,736.48 = 3,296.36/x
  3. Step 3: Cross multiply
    3,416.48x = 4,736.48 × 3,296.36
  4. Step 4: Simplify right side
    3,416.48x = 15,613,143.21
  5. Step 5: Solve for x
    x = 15,613,143.21/3,416.48
  6. Step 6: Final answer
    x = 4,569.95

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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.