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Finding the Fourth Proportional to 5,756.58, 7,944.57 and 3,239.10

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Solution

The fourth proportional to 5,756.58, 7,944.57 and 3,239.10 is: 4,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.58 : 7,944.57 = 3,239.10 : x
  2. Step 2: Convert to fraction form
    5,756.58/7,944.57 = 3,239.10/x
  3. Step 3: Cross multiply
    5,756.58x = 7,944.57 × 3,239.10
  4. Step 4: Simplify right side
    5,756.58x = 25,733,256.69
  5. Step 5: Solve for x
    x = 25,733,256.69/5,756.58
  6. Step 6: Final answer
    x = 4,470.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.