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Finding the Fourth Proportional to 3,896.27, 5,840.93 and 1,430.52

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Solution

The fourth proportional to 3,896.27, 5,840.93 and 1,430.52 is: 2,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.27 : 5,840.93 = 1,430.52 : x
  2. Step 2: Convert to fraction form
    3,896.27/5,840.93 = 1,430.52/x
  3. Step 3: Cross multiply
    3,896.27x = 5,840.93 × 1,430.52
  4. Step 4: Simplify right side
    3,896.27x = 8,355,567.18
  5. Step 5: Solve for x
    x = 8,355,567.18/3,896.27
  6. Step 6: Final answer
    x = 2,144.50

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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.