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Finding the Fourth Proportional to 5,295.94, 7,305.08 and 3,409.98

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Solution

The fourth proportional to 5,295.94, 7,305.08 and 3,409.98 is: 4,703.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.94 : 7,305.08 = 3,409.98 : x
  2. Step 2: Convert to fraction form
    5,295.94/7,305.08 = 3,409.98/x
  3. Step 3: Cross multiply
    5,295.94x = 7,305.08 × 3,409.98
  4. Step 4: Simplify right side
    5,295.94x = 24,910,176.70
  5. Step 5: Solve for x
    x = 24,910,176.70/5,295.94
  6. Step 6: Final answer
    x = 4,703.64

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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.