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Finding the Fourth Proportional to 3,652.46, 5,470.18 and 2,828.08

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Solution

The fourth proportional to 3,652.46, 5,470.18 and 2,828.08 is: 4,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.46 : 5,470.18 = 2,828.08 : x
  2. Step 2: Convert to fraction form
    3,652.46/5,470.18 = 2,828.08/x
  3. Step 3: Cross multiply
    3,652.46x = 5,470.18 × 2,828.08
  4. Step 4: Simplify right side
    3,652.46x = 15,470,106.42
  5. Step 5: Solve for x
    x = 15,470,106.42/3,652.46
  6. Step 6: Final answer
    x = 4,235.53

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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.