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Finding the Fourth Proportional to 4,676.48, 7,022 and 4,468.72

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Solution

The fourth proportional to 4,676.48, 7,022 and 4,468.72 is: 6,710.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,022 = 4,468.72 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,022 = 4,468.72/x
  3. Step 3: Cross multiply
    4,676.48x = 7,022 × 4,468.72
  4. Step 4: Simplify right side
    4,676.48x = 31,379,351.84
  5. Step 5: Solve for x
    x = 31,379,351.84/4,676.48
  6. Step 6: Final answer
    x = 6,710.04

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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.