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Finding the Fourth Proportional to 3,588.34, 5,376.82 and 1,738.30

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Solution

The fourth proportional to 3,588.34, 5,376.82 and 1,738.30 is: 2,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.34 : 5,376.82 = 1,738.30 : x
  2. Step 2: Convert to fraction form
    3,588.34/5,376.82 = 1,738.30/x
  3. Step 3: Cross multiply
    3,588.34x = 5,376.82 × 1,738.30
  4. Step 4: Simplify right side
    3,588.34x = 9,346,526.21
  5. Step 5: Solve for x
    x = 9,346,526.21/3,588.34
  6. Step 6: Final answer
    x = 2,604.69

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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.