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Finding the Fourth Proportional to 5,626.86, 8,440.74 and 4,242.84

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Solution

The fourth proportional to 5,626.86, 8,440.74 and 4,242.84 is: 6,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.86 : 8,440.74 = 4,242.84 : x
  2. Step 2: Convert to fraction form
    5,626.86/8,440.74 = 4,242.84/x
  3. Step 3: Cross multiply
    5,626.86x = 8,440.74 × 4,242.84
  4. Step 4: Simplify right side
    5,626.86x = 35,812,709.30
  5. Step 5: Solve for x
    x = 35,812,709.30/5,626.86
  6. Step 6: Final answer
    x = 6,364.60

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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.