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Finding the Fourth Proportional to 5,364.06, 8,032.26 and 3,509.70

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Solution

The fourth proportional to 5,364.06, 8,032.26 and 3,509.70 is: 5,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.06 : 8,032.26 = 3,509.70 : x
  2. Step 2: Convert to fraction form
    5,364.06/8,032.26 = 3,509.70/x
  3. Step 3: Cross multiply
    5,364.06x = 8,032.26 × 3,509.70
  4. Step 4: Simplify right side
    5,364.06x = 28,190,822.92
  5. Step 5: Solve for x
    x = 28,190,822.92/5,364.06
  6. Step 6: Final answer
    x = 5,255.50

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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.