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Finding the Fourth Proportional to 5,298.80, 7,313.10 and 3,174.42

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Solution

The fourth proportional to 5,298.80, 7,313.10 and 3,174.42 is: 4,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.80 : 7,313.10 = 3,174.42 : x
  2. Step 2: Convert to fraction form
    5,298.80/7,313.10 = 3,174.42/x
  3. Step 3: Cross multiply
    5,298.80x = 7,313.10 × 3,174.42
  4. Step 4: Simplify right side
    5,298.80x = 23,214,872.64
  5. Step 5: Solve for x
    x = 23,214,872.64/5,298.80
  6. Step 6: Final answer
    x = 4,381.16

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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.