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Finding the Fourth Proportional to 5,312.56, 7,331.10 and 2,954.92

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Solution

The fourth proportional to 5,312.56, 7,331.10 and 2,954.92 is: 4,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.56 : 7,331.10 = 2,954.92 : x
  2. Step 2: Convert to fraction form
    5,312.56/7,331.10 = 2,954.92/x
  3. Step 3: Cross multiply
    5,312.56x = 7,331.10 × 2,954.92
  4. Step 4: Simplify right side
    5,312.56x = 21,662,814.01
  5. Step 5: Solve for x
    x = 21,662,814.01/5,312.56
  6. Step 6: Final answer
    x = 4,077.66

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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.