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Finding the Fourth Proportional to 3,929.84, 5,894.94 and 1,297.58

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Solution

The fourth proportional to 3,929.84, 5,894.94 and 1,297.58 is: 1,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.84 : 5,894.94 = 1,297.58 : x
  2. Step 2: Convert to fraction form
    3,929.84/5,894.94 = 1,297.58/x
  3. Step 3: Cross multiply
    3,929.84x = 5,894.94 × 1,297.58
  4. Step 4: Simplify right side
    3,929.84x = 7,649,126.77
  5. Step 5: Solve for x
    x = 7,649,126.77/3,929.84
  6. Step 6: Final answer
    x = 1,946.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.