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Finding the Fourth Proportional to 3,798.53, 5,697.60 and 1,333.16

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Solution

The fourth proportional to 3,798.53, 5,697.60 and 1,333.16 is: 1,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.53 : 5,697.60 = 1,333.16 : x
  2. Step 2: Convert to fraction form
    3,798.53/5,697.60 = 1,333.16/x
  3. Step 3: Cross multiply
    3,798.53x = 5,697.60 × 1,333.16
  4. Step 4: Simplify right side
    3,798.53x = 7,595,812.42
  5. Step 5: Solve for x
    x = 7,595,812.42/3,798.53
  6. Step 6: Final answer
    x = 1,999.67

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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.