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Finding the Fourth Proportional to 4,952.72, 7,408.82 and 4,657.88

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Solution

The fourth proportional to 4,952.72, 7,408.82 and 4,657.88 is: 6,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.72 : 7,408.82 = 4,657.88 : x
  2. Step 2: Convert to fraction form
    4,952.72/7,408.82 = 4,657.88/x
  3. Step 3: Cross multiply
    4,952.72x = 7,408.82 × 4,657.88
  4. Step 4: Simplify right side
    4,952.72x = 34,509,394.50
  5. Step 5: Solve for x
    x = 34,509,394.50/4,952.72
  6. Step 6: Final answer
    x = 6,967.77

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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.