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Finding the Fourth Proportional to 3,466.89, 5,199.93 and 869.67

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Solution

The fourth proportional to 3,466.89, 5,199.93 and 869.67 is: 1,304.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.89 : 5,199.93 = 869.67 : x
  2. Step 2: Convert to fraction form
    3,466.89/5,199.93 = 869.67/x
  3. Step 3: Cross multiply
    3,466.89x = 5,199.93 × 869.67
  4. Step 4: Simplify right side
    3,466.89x = 4,522,223.12
  5. Step 5: Solve for x
    x = 4,522,223.12/3,466.89
  6. Step 6: Final answer
    x = 1,304.40

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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.