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Finding the Fourth Proportional to 3,798.56, 5,688.12 and 2,152.64

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Solution

The fourth proportional to 3,798.56, 5,688.12 and 2,152.64 is: 3,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.56 : 5,688.12 = 2,152.64 : x
  2. Step 2: Convert to fraction form
    3,798.56/5,688.12 = 2,152.64/x
  3. Step 3: Cross multiply
    3,798.56x = 5,688.12 × 2,152.64
  4. Step 4: Simplify right side
    3,798.56x = 12,244,474.64
  5. Step 5: Solve for x
    x = 12,244,474.64/3,798.56
  6. Step 6: Final answer
    x = 3,223.45

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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.