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Finding the Fourth Proportional to 4,814.83, 6,652.29 and 3,828.25

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Solution

The fourth proportional to 4,814.83, 6,652.29 and 3,828.25 is: 5,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.83 : 6,652.29 = 3,828.25 : x
  2. Step 2: Convert to fraction form
    4,814.83/6,652.29 = 3,828.25/x
  3. Step 3: Cross multiply
    4,814.83x = 6,652.29 × 3,828.25
  4. Step 4: Simplify right side
    4,814.83x = 25,466,629.19
  5. Step 5: Solve for x
    x = 25,466,629.19/4,814.83
  6. Step 6: Final answer
    x = 5,289.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.