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Finding the Fourth Proportional to 5,652.03, 7,799.84 and 3,414.00

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Solution

The fourth proportional to 5,652.03, 7,799.84 and 3,414.00 is: 4,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.03 : 7,799.84 = 3,414.00 : x
  2. Step 2: Convert to fraction form
    5,652.03/7,799.84 = 3,414.00/x
  3. Step 3: Cross multiply
    5,652.03x = 7,799.84 × 3,414.00
  4. Step 4: Simplify right side
    5,652.03x = 26,628,654.07
  5. Step 5: Solve for x
    x = 26,628,654.07/5,652.03
  6. Step 6: Final answer
    x = 4,711.34

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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.