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Finding the Fourth Proportional to 5,541.64, 8,306.94 and 3,077.56

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Solution

The fourth proportional to 5,541.64, 8,306.94 and 3,077.56 is: 4,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.64 : 8,306.94 = 3,077.56 : x
  2. Step 2: Convert to fraction form
    5,541.64/8,306.94 = 3,077.56/x
  3. Step 3: Cross multiply
    5,541.64x = 8,306.94 × 3,077.56
  4. Step 4: Simplify right side
    5,541.64x = 25,565,106.27
  5. Step 5: Solve for x
    x = 25,565,106.27/5,541.64
  6. Step 6: Final answer
    x = 4,613.27

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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.