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Finding the Fourth Proportional to 5,541.92, 8,314.16 and 2,464.80

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Solution

The fourth proportional to 5,541.92, 8,314.16 and 2,464.80 is: 3,697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.92 : 8,314.16 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    5,541.92/8,314.16 = 2,464.80/x
  3. Step 3: Cross multiply
    5,541.92x = 8,314.16 × 2,464.80
  4. Step 4: Simplify right side
    5,541.92x = 20,492,741.57
  5. Step 5: Solve for x
    x = 20,492,741.57/5,541.92
  6. Step 6: Final answer
    x = 3,697.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.