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Finding the Fourth Proportional to 5,953, 8,929.98 and 1,849

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Solution

The fourth proportional to 5,953, 8,929.98 and 1,849 is: 2,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953 : 8,929.98 = 1,849 : x
  2. Step 2: Convert to fraction form
    5,953/8,929.98 = 1,849/x
  3. Step 3: Cross multiply
    5,953x = 8,929.98 × 1,849
  4. Step 4: Simplify right side
    5,953x = 16,511,533.02
  5. Step 5: Solve for x
    x = 16,511,533.02/5,953
  6. Step 6: Final answer
    x = 2,773.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.