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Finding the Fourth Proportional to 3,505.28, 5,258.87 and 1,165.67

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Solution

The fourth proportional to 3,505.28, 5,258.87 and 1,165.67 is: 1,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,505.28 : 5,258.87 = 1,165.67 : x
  2. Step 2: Convert to fraction form
    3,505.28/5,258.87 = 1,165.67/x
  3. Step 3: Cross multiply
    3,505.28x = 5,258.87 × 1,165.67
  4. Step 4: Simplify right side
    3,505.28x = 6,130,074.87
  5. Step 5: Solve for x
    x = 6,130,074.87/3,505.28
  6. Step 6: Final answer
    x = 1,748.81

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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.