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Finding the Fourth Proportional to 5,676, 8,464.62 and 5,046.72

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Solution

The fourth proportional to 5,676, 8,464.62 and 5,046.72 is: 7,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676 : 8,464.62 = 5,046.72 : x
  2. Step 2: Convert to fraction form
    5,676/8,464.62 = 5,046.72/x
  3. Step 3: Cross multiply
    5,676x = 8,464.62 × 5,046.72
  4. Step 4: Simplify right side
    5,676x = 42,718,567.05
  5. Step 5: Solve for x
    x = 42,718,567.05/5,676
  6. Step 6: Final answer
    x = 7,526.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.