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Finding the Fourth Proportional to 4,416.56, 6,626.16 and 1,782.71

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Solution

The fourth proportional to 4,416.56, 6,626.16 and 1,782.71 is: 2,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.56 : 6,626.16 = 1,782.71 : x
  2. Step 2: Convert to fraction form
    4,416.56/6,626.16 = 1,782.71/x
  3. Step 3: Cross multiply
    4,416.56x = 6,626.16 × 1,782.71
  4. Step 4: Simplify right side
    4,416.56x = 11,812,512.78
  5. Step 5: Solve for x
    x = 11,812,512.78/4,416.56
  6. Step 6: Final answer
    x = 2,674.60

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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.