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Finding the Fourth Proportional to 4,674.42, 6,452.06 and 3,000.30

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Solution

The fourth proportional to 4,674.42, 6,452.06 and 3,000.30 is: 4,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.42 : 6,452.06 = 3,000.30 : x
  2. Step 2: Convert to fraction form
    4,674.42/6,452.06 = 3,000.30/x
  3. Step 3: Cross multiply
    4,674.42x = 6,452.06 × 3,000.30
  4. Step 4: Simplify right side
    4,674.42x = 19,358,100.62
  5. Step 5: Solve for x
    x = 19,358,100.62/4,674.42
  6. Step 6: Final answer
    x = 4,141.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.