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Finding the Fourth Proportional to 5,829.68, 8,744.64 and 2,364.56

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Solution

The fourth proportional to 5,829.68, 8,744.64 and 2,364.56 is: 3,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.68 : 8,744.64 = 2,364.56 : x
  2. Step 2: Convert to fraction form
    5,829.68/8,744.64 = 2,364.56/x
  3. Step 3: Cross multiply
    5,829.68x = 8,744.64 × 2,364.56
  4. Step 4: Simplify right side
    5,829.68x = 20,677,225.96
  5. Step 5: Solve for x
    x = 20,677,225.96/5,829.68
  6. Step 6: Final answer
    x = 3,546.89

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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.