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Finding the Fourth Proportional to 5,228.32, 7,848.24 and 3,563.68

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Solution

The fourth proportional to 5,228.32, 7,848.24 and 3,563.68 is: 5,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.32 : 7,848.24 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    5,228.32/7,848.24 = 3,563.68/x
  3. Step 3: Cross multiply
    5,228.32x = 7,848.24 × 3,563.68
  4. Step 4: Simplify right side
    5,228.32x = 27,968,615.92
  5. Step 5: Solve for x
    x = 27,968,615.92/5,228.32
  6. Step 6: Final answer
    x = 5,349.45

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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.