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Finding the Fourth Proportional to 5,492.71, 8,239.52 and 1,794.86

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Solution

The fourth proportional to 5,492.71, 8,239.52 and 1,794.86 is: 2,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.71 : 8,239.52 = 1,794.86 : x
  2. Step 2: Convert to fraction form
    5,492.71/8,239.52 = 1,794.86/x
  3. Step 3: Cross multiply
    5,492.71x = 8,239.52 × 1,794.86
  4. Step 4: Simplify right side
    5,492.71x = 14,788,779.05
  5. Step 5: Solve for x
    x = 14,788,779.05/5,492.71
  6. Step 6: Final answer
    x = 2,692.44

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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.