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Finding the Fourth Proportional to 3,723.70, 5,586.16 and 1,258.67

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Solution

The fourth proportional to 3,723.70, 5,586.16 and 1,258.67 is: 1,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.70 : 5,586.16 = 1,258.67 : x
  2. Step 2: Convert to fraction form
    3,723.70/5,586.16 = 1,258.67/x
  3. Step 3: Cross multiply
    3,723.70x = 5,586.16 × 1,258.67
  4. Step 4: Simplify right side
    3,723.70x = 7,031,132.01
  5. Step 5: Solve for x
    x = 7,031,132.01/3,723.70
  6. Step 6: Final answer
    x = 1,888.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.