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Finding the Fourth Proportional to 4,349.30, 6,002 and 2,359.86

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Solution

The fourth proportional to 4,349.30, 6,002 and 2,359.86 is: 3,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.30 : 6,002 = 2,359.86 : x
  2. Step 2: Convert to fraction form
    4,349.30/6,002 = 2,359.86/x
  3. Step 3: Cross multiply
    4,349.30x = 6,002 × 2,359.86
  4. Step 4: Simplify right side
    4,349.30x = 14,163,879.72
  5. Step 5: Solve for x
    x = 14,163,879.72/4,349.30
  6. Step 6: Final answer
    x = 3,256.59

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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.