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Finding the Fourth Proportional to 3,703.68, 5,554.62 and 1,728.06

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Solution

The fourth proportional to 3,703.68, 5,554.62 and 1,728.06 is: 2,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.68 : 5,554.62 = 1,728.06 : x
  2. Step 2: Convert to fraction form
    3,703.68/5,554.62 = 1,728.06/x
  3. Step 3: Cross multiply
    3,703.68x = 5,554.62 × 1,728.06
  4. Step 4: Simplify right side
    3,703.68x = 9,598,716.64
  5. Step 5: Solve for x
    x = 9,598,716.64/3,703.68
  6. Step 6: Final answer
    x = 2,591.67

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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.