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Finding the Fourth Proportional to 6,492.39, 8,959.50 and 4,135.90

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Solution

The fourth proportional to 6,492.39, 8,959.50 and 4,135.90 is: 5,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.39 : 8,959.50 = 4,135.90 : x
  2. Step 2: Convert to fraction form
    6,492.39/8,959.50 = 4,135.90/x
  3. Step 3: Cross multiply
    6,492.39x = 8,959.50 × 4,135.90
  4. Step 4: Simplify right side
    6,492.39x = 37,055,596.05
  5. Step 5: Solve for x
    x = 37,055,596.05/6,492.39
  6. Step 6: Final answer
    x = 5,707.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.