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Finding the Fourth Proportional to 5,827.55, 8,744.96 and 2,364.80

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Solution

The fourth proportional to 5,827.55, 8,744.96 and 2,364.80 is: 3,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.55 : 8,744.96 = 2,364.80 : x
  2. Step 2: Convert to fraction form
    5,827.55/8,744.96 = 2,364.80/x
  3. Step 3: Cross multiply
    5,827.55x = 8,744.96 × 2,364.80
  4. Step 4: Simplify right side
    5,827.55x = 20,680,043.60
  5. Step 5: Solve for x
    x = 20,680,043.60/5,827.55
  6. Step 6: Final answer
    x = 3,548.67

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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.