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Finding the Fourth Proportional to 4,188.34, 6,279.76 and 2,339.65

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Solution

The fourth proportional to 4,188.34, 6,279.76 and 2,339.65 is: 3,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,188.34 : 6,279.76 = 2,339.65 : x
  2. Step 2: Convert to fraction form
    4,188.34/6,279.76 = 2,339.65/x
  3. Step 3: Cross multiply
    4,188.34x = 6,279.76 × 2,339.65
  4. Step 4: Simplify right side
    4,188.34x = 14,692,451.26
  5. Step 5: Solve for x
    x = 14,692,451.26/4,188.34
  6. Step 6: Final answer
    x = 3,507.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.