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Finding the Fourth Proportional to 3,574.92, 4,929.66 and 3,494.44

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Solution

The fourth proportional to 3,574.92, 4,929.66 and 3,494.44 is: 4,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.92 : 4,929.66 = 3,494.44 : x
  2. Step 2: Convert to fraction form
    3,574.92/4,929.66 = 3,494.44/x
  3. Step 3: Cross multiply
    3,574.92x = 4,929.66 × 3,494.44
  4. Step 4: Simplify right side
    3,574.92x = 17,226,401.09
  5. Step 5: Solve for x
    x = 17,226,401.09/3,574.92
  6. Step 6: Final answer
    x = 4,818.68

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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.