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Finding the Fourth Proportional to 5,297.78, 7,946.67 and 1,835.06

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Solution

The fourth proportional to 5,297.78, 7,946.67 and 1,835.06 is: 2,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.78 : 7,946.67 = 1,835.06 : x
  2. Step 2: Convert to fraction form
    5,297.78/7,946.67 = 1,835.06/x
  3. Step 3: Cross multiply
    5,297.78x = 7,946.67 × 1,835.06
  4. Step 4: Simplify right side
    5,297.78x = 14,582,616.25
  5. Step 5: Solve for x
    x = 14,582,616.25/5,297.78
  6. Step 6: Final answer
    x = 2,752.59

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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.