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Finding the Fourth Proportional to 5,002.94, 7,505.96 and 1,883.22

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Solution

The fourth proportional to 5,002.94, 7,505.96 and 1,883.22 is: 2,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.94 : 7,505.96 = 1,883.22 : x
  2. Step 2: Convert to fraction form
    5,002.94/7,505.96 = 1,883.22/x
  3. Step 3: Cross multiply
    5,002.94x = 7,505.96 × 1,883.22
  4. Step 4: Simplify right side
    5,002.94x = 14,135,373.99
  5. Step 5: Solve for x
    x = 14,135,373.99/5,002.94
  6. Step 6: Final answer
    x = 2,825.41

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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.