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Finding the Fourth Proportional to 5,297.99, 7,311.16 and 2,940.08

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Solution

The fourth proportional to 5,297.99, 7,311.16 and 2,940.08 is: 4,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.99 : 7,311.16 = 2,940.08 : x
  2. Step 2: Convert to fraction form
    5,297.99/7,311.16 = 2,940.08/x
  3. Step 3: Cross multiply
    5,297.99x = 7,311.16 × 2,940.08
  4. Step 4: Simplify right side
    5,297.99x = 21,495,417.25
  5. Step 5: Solve for x
    x = 21,495,417.25/5,297.99
  6. Step 6: Final answer
    x = 4,057.28

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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.