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Finding the Fourth Proportional to 5,297.86, 7,946.79 and 4,687.53

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Solution

The fourth proportional to 5,297.86, 7,946.79 and 4,687.53 is: 7,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.86 : 7,946.79 = 4,687.53 : x
  2. Step 2: Convert to fraction form
    5,297.86/7,946.79 = 4,687.53/x
  3. Step 3: Cross multiply
    5,297.86x = 7,946.79 × 4,687.53
  4. Step 4: Simplify right side
    5,297.86x = 37,250,816.53
  5. Step 5: Solve for x
    x = 37,250,816.53/5,297.86
  6. Step 6: Final answer
    x = 7,031.30

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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.