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Finding the Fourth Proportional to 5,389.76, 8,074.89 and 2,264.16

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Solution

The fourth proportional to 5,389.76, 8,074.89 and 2,264.16 is: 3,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.76 : 8,074.89 = 2,264.16 : x
  2. Step 2: Convert to fraction form
    5,389.76/8,074.89 = 2,264.16/x
  3. Step 3: Cross multiply
    5,389.76x = 8,074.89 × 2,264.16
  4. Step 4: Simplify right side
    5,389.76x = 18,282,842.94
  5. Step 5: Solve for x
    x = 18,282,842.94/5,389.76
  6. Step 6: Final answer
    x = 3,392.15

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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.