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Finding the Fourth Proportional to 4,309.61, 5,977.49 and 4,134.65

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Solution

The fourth proportional to 4,309.61, 5,977.49 and 4,134.65 is: 5,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.61 : 5,977.49 = 4,134.65 : x
  2. Step 2: Convert to fraction form
    4,309.61/5,977.49 = 4,134.65/x
  3. Step 3: Cross multiply
    4,309.61x = 5,977.49 × 4,134.65
  4. Step 4: Simplify right side
    4,309.61x = 24,714,829.03
  5. Step 5: Solve for x
    x = 24,714,829.03/4,309.61
  6. Step 6: Final answer
    x = 5,734.82

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.