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Finding the Fourth Proportional to 3,807.44, 5,739.24 and 3,491.52

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Solution

The fourth proportional to 3,807.44, 5,739.24 and 3,491.52 is: 5,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.44 : 5,739.24 = 3,491.52 : x
  2. Step 2: Convert to fraction form
    3,807.44/5,739.24 = 3,491.52/x
  3. Step 3: Cross multiply
    3,807.44x = 5,739.24 × 3,491.52
  4. Step 4: Simplify right side
    3,807.44x = 20,038,671.24
  5. Step 5: Solve for x
    x = 20,038,671.24/3,807.44
  6. Step 6: Final answer
    x = 5,263.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.