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Finding the Fourth Proportional to 5,492.86, 8,238.43 and 1,795.06

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Solution

The fourth proportional to 5,492.86, 8,238.43 and 1,795.06 is: 2,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.86 : 8,238.43 = 1,795.06 : x
  2. Step 2: Convert to fraction form
    5,492.86/8,238.43 = 1,795.06/x
  3. Step 3: Cross multiply
    5,492.86x = 8,238.43 × 1,795.06
  4. Step 4: Simplify right side
    5,492.86x = 14,788,451.07
  5. Step 5: Solve for x
    x = 14,788,451.07/5,492.86
  6. Step 6: Final answer
    x = 2,692.31

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1.5x scale

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.