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Finding the Fourth Proportional to 5,782.92, 8,628.99 and 5,430.30

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Solution

The fourth proportional to 5,782.92, 8,628.99 and 5,430.30 is: 8,102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.92 : 8,628.99 = 5,430.30 : x
  2. Step 2: Convert to fraction form
    5,782.92/8,628.99 = 5,430.30/x
  3. Step 3: Cross multiply
    5,782.92x = 8,628.99 × 5,430.30
  4. Step 4: Simplify right side
    5,782.92x = 46,858,004.40
  5. Step 5: Solve for x
    x = 46,858,004.40/5,782.92
  6. Step 6: Final answer
    x = 8,102.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.