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Finding the Fourth Proportional to 5,758.96, 8,638.47 and 1,599.30

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Solution

The fourth proportional to 5,758.96, 8,638.47 and 1,599.30 is: 2,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.96 : 8,638.47 = 1,599.30 : x
  2. Step 2: Convert to fraction form
    5,758.96/8,638.47 = 1,599.30/x
  3. Step 3: Cross multiply
    5,758.96x = 8,638.47 × 1,599.30
  4. Step 4: Simplify right side
    5,758.96x = 13,815,505.07
  5. Step 5: Solve for x
    x = 13,815,505.07/5,758.96
  6. Step 6: Final answer
    x = 2,398.96

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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.