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Finding the Fourth Proportional to 3,798.52, 5,242.05 and 2,120.25

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Solution

The fourth proportional to 3,798.52, 5,242.05 and 2,120.25 is: 2,926.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.52 : 5,242.05 = 2,120.25 : x
  2. Step 2: Convert to fraction form
    3,798.52/5,242.05 = 2,120.25/x
  3. Step 3: Cross multiply
    3,798.52x = 5,242.05 × 2,120.25
  4. Step 4: Simplify right side
    3,798.52x = 11,114,456.51
  5. Step 5: Solve for x
    x = 11,114,456.51/3,798.52
  6. Step 6: Final answer
    x = 2,926.00

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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.