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Finding the Fourth Proportional to 5,364.55, 8,046.83 and 1,415.80

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Solution

The fourth proportional to 5,364.55, 8,046.83 and 1,415.80 is: 2,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364.55 : 8,046.83 = 1,415.80 : x
  2. Step 2: Convert to fraction form
    5,364.55/8,046.83 = 1,415.80/x
  3. Step 3: Cross multiply
    5,364.55x = 8,046.83 × 1,415.80
  4. Step 4: Simplify right side
    5,364.55x = 11,392,701.91
  5. Step 5: Solve for x
    x = 11,392,701.91/5,364.55
  6. Step 6: Final answer
    x = 2,123.70

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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.