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Finding the Fourth Proportional to 4,325.86, 6,495.27 and 4,174.66

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Solution

The fourth proportional to 4,325.86, 6,495.27 and 4,174.66 is: 6,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.86 : 6,495.27 = 4,174.66 : x
  2. Step 2: Convert to fraction form
    4,325.86/6,495.27 = 4,174.66/x
  3. Step 3: Cross multiply
    4,325.86x = 6,495.27 × 4,174.66
  4. Step 4: Simplify right side
    4,325.86x = 27,115,543.86
  5. Step 5: Solve for x
    x = 27,115,543.86/4,325.86
  6. Step 6: Final answer
    x = 6,268.24

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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.