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Finding the Fourth Proportional to 3,828.68, 5,734.46 and 3,328.68

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Solution

The fourth proportional to 3,828.68, 5,734.46 and 3,328.68 is: 4,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.68 : 5,734.46 = 3,328.68 : x
  2. Step 2: Convert to fraction form
    3,828.68/5,734.46 = 3,328.68/x
  3. Step 3: Cross multiply
    3,828.68x = 5,734.46 × 3,328.68
  4. Step 4: Simplify right side
    3,828.68x = 19,088,182.31
  5. Step 5: Solve for x
    x = 19,088,182.31/3,828.68
  6. Step 6: Final answer
    x = 4,985.58

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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.