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Finding the Fourth Proportional to 3,416.56, 4,733.92 and 3,342.80

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Solution

The fourth proportional to 3,416.56, 4,733.92 and 3,342.80 is: 4,631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.56 : 4,733.92 = 3,342.80 : x
  2. Step 2: Convert to fraction form
    3,416.56/4,733.92 = 3,342.80/x
  3. Step 3: Cross multiply
    3,416.56x = 4,733.92 × 3,342.80
  4. Step 4: Simplify right side
    3,416.56x = 15,824,547.78
  5. Step 5: Solve for x
    x = 15,824,547.78/3,416.56
  6. Step 6: Final answer
    x = 4,631.72

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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.