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Finding the Fourth Proportional to 5,832.35, 8,741.62 and 3,492.87

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Solution

The fourth proportional to 5,832.35, 8,741.62 and 3,492.87 is: 5,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.35 : 8,741.62 = 3,492.87 : x
  2. Step 2: Convert to fraction form
    5,832.35/8,741.62 = 3,492.87/x
  3. Step 3: Cross multiply
    5,832.35x = 8,741.62 × 3,492.87
  4. Step 4: Simplify right side
    5,832.35x = 30,533,363.01
  5. Step 5: Solve for x
    x = 30,533,363.01/5,832.35
  6. Step 6: Final answer
    x = 5,235.17

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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.