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Finding the Fourth Proportional to 5,603.96, 7,723.94 and 3,832.50

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Solution

The fourth proportional to 5,603.96, 7,723.94 and 3,832.50 is: 5,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.96 : 7,723.94 = 3,832.50 : x
  2. Step 2: Convert to fraction form
    5,603.96/7,723.94 = 3,832.50/x
  3. Step 3: Cross multiply
    5,603.96x = 7,723.94 × 3,832.50
  4. Step 4: Simplify right side
    5,603.96x = 29,602,000.05
  5. Step 5: Solve for x
    x = 29,602,000.05/5,603.96
  6. Step 6: Final answer
    x = 5,282.34

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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.