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Finding the Fourth Proportional to 3,799.98, 5,702.00 and 1,579.77

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Solution

The fourth proportional to 3,799.98, 5,702.00 and 1,579.77 is: 2,370.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.98 : 5,702.00 = 1,579.77 : x
  2. Step 2: Convert to fraction form
    3,799.98/5,702.00 = 1,579.77/x
  3. Step 3: Cross multiply
    3,799.98x = 5,702.00 × 1,579.77
  4. Step 4: Simplify right side
    3,799.98x = 9,007,840.64
  5. Step 5: Solve for x
    x = 9,007,840.64/3,799.98
  6. Step 6: Final answer
    x = 2,370.50

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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.