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Finding the Fourth Proportional to 3,440.07, 4,748.07 and 2,182.86

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Solution

The fourth proportional to 3,440.07, 4,748.07 and 2,182.86 is: 3,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.07 : 4,748.07 = 2,182.86 : x
  2. Step 2: Convert to fraction form
    3,440.07/4,748.07 = 2,182.86/x
  3. Step 3: Cross multiply
    3,440.07x = 4,748.07 × 2,182.86
  4. Step 4: Simplify right side
    3,440.07x = 10,364,372.08
  5. Step 5: Solve for x
    x = 10,364,372.08/3,440.07
  6. Step 6: Final answer
    x = 3,012.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.