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Finding the Fourth Proportional to 3,852.54, 5,773.88 and 1,659.06

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Solution

The fourth proportional to 3,852.54, 5,773.88 and 1,659.06 is: 2,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.54 : 5,773.88 = 1,659.06 : x
  2. Step 2: Convert to fraction form
    3,852.54/5,773.88 = 1,659.06/x
  3. Step 3: Cross multiply
    3,852.54x = 5,773.88 × 1,659.06
  4. Step 4: Simplify right side
    3,852.54x = 9,579,217.50
  5. Step 5: Solve for x
    x = 9,579,217.50/3,852.54
  6. Step 6: Final answer
    x = 2,486.47

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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.