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Finding the Fourth Proportional to 3,929.57, 5,894.54 and 1,297.30

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Solution

The fourth proportional to 3,929.57, 5,894.54 and 1,297.30 is: 1,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.57 : 5,894.54 = 1,297.30 : x
  2. Step 2: Convert to fraction form
    3,929.57/5,894.54 = 1,297.30/x
  3. Step 3: Cross multiply
    3,929.57x = 5,894.54 × 1,297.30
  4. Step 4: Simplify right side
    3,929.57x = 7,646,994.99
  5. Step 5: Solve for x
    x = 7,646,994.99/3,929.57
  6. Step 6: Final answer
    x = 1,946.01

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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.