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Finding the Fourth Proportional to 4,364.60, 6,543.59 and 2,174.87

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Solution

The fourth proportional to 4,364.60, 6,543.59 and 2,174.87 is: 3,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.60 : 6,543.59 = 2,174.87 : x
  2. Step 2: Convert to fraction form
    4,364.60/6,543.59 = 2,174.87/x
  3. Step 3: Cross multiply
    4,364.60x = 6,543.59 × 2,174.87
  4. Step 4: Simplify right side
    4,364.60x = 14,231,413.99
  5. Step 5: Solve for x
    x = 14,231,413.99/4,364.60
  6. Step 6: Final answer
    x = 3,260.65

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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.