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Finding the Fourth Proportional to 3,495.18, 4,823.82 and 3,199.92

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Solution

The fourth proportional to 3,495.18, 4,823.82 and 3,199.92 is: 4,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.18 : 4,823.82 = 3,199.92 : x
  2. Step 2: Convert to fraction form
    3,495.18/4,823.82 = 3,199.92/x
  3. Step 3: Cross multiply
    3,495.18x = 4,823.82 × 3,199.92
  4. Step 4: Simplify right side
    3,495.18x = 15,435,838.09
  5. Step 5: Solve for x
    x = 15,435,838.09/3,495.18
  6. Step 6: Final answer
    x = 4,416.32

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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.