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Finding the Fourth Proportional to 4,854, 7,269.52 and 3,092.72

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Solution

The fourth proportional to 4,854, 7,269.52 and 3,092.72 is: 4,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854 : 7,269.52 = 3,092.72 : x
  2. Step 2: Convert to fraction form
    4,854/7,269.52 = 3,092.72/x
  3. Step 3: Cross multiply
    4,854x = 7,269.52 × 3,092.72
  4. Step 4: Simplify right side
    4,854x = 22,482,589.89
  5. Step 5: Solve for x
    x = 22,482,589.89/4,854
  6. Step 6: Final answer
    x = 4,631.77

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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.