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Finding the Fourth Proportional to 5,893.63, 8,849.86 and 3,430.22

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Solution

The fourth proportional to 5,893.63, 8,849.86 and 3,430.22 is: 5,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.63 : 8,849.86 = 3,430.22 : x
  2. Step 2: Convert to fraction form
    5,893.63/8,849.86 = 3,430.22/x
  3. Step 3: Cross multiply
    5,893.63x = 8,849.86 × 3,430.22
  4. Step 4: Simplify right side
    5,893.63x = 30,356,913.94
  5. Step 5: Solve for x
    x = 30,356,913.94/5,893.63
  6. Step 6: Final answer
    x = 5,150.80

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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.