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Finding the Fourth Proportional to 4,176.90, 5,764.01 and 2,313.90

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Solution

The fourth proportional to 4,176.90, 5,764.01 and 2,313.90 is: 3,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.90 : 5,764.01 = 2,313.90 : x
  2. Step 2: Convert to fraction form
    4,176.90/5,764.01 = 2,313.90/x
  3. Step 3: Cross multiply
    4,176.90x = 5,764.01 × 2,313.90
  4. Step 4: Simplify right side
    4,176.90x = 13,337,331.17
  5. Step 5: Solve for x
    x = 13,337,331.17/4,176.90
  6. Step 6: Final answer
    x = 3,193.12

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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.