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Finding the Fourth Proportional to 5,657.95, 8,475.94 and 2,804.37

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Solution

The fourth proportional to 5,657.95, 8,475.94 and 2,804.37 is: 4,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.95 : 8,475.94 = 2,804.37 : x
  2. Step 2: Convert to fraction form
    5,657.95/8,475.94 = 2,804.37/x
  3. Step 3: Cross multiply
    5,657.95x = 8,475.94 × 2,804.37
  4. Step 4: Simplify right side
    5,657.95x = 23,769,671.86
  5. Step 5: Solve for x
    x = 23,769,671.86/5,657.95
  6. Step 6: Final answer
    x = 4,201.11

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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.