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Finding the Fourth Proportional to 5,492.75, 7,582.61 and 3,134.43

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Solution

The fourth proportional to 5,492.75, 7,582.61 and 3,134.43 is: 4,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.75 : 7,582.61 = 3,134.43 : x
  2. Step 2: Convert to fraction form
    5,492.75/7,582.61 = 3,134.43/x
  3. Step 3: Cross multiply
    5,492.75x = 7,582.61 × 3,134.43
  4. Step 4: Simplify right side
    5,492.75x = 23,767,168.10
  5. Step 5: Solve for x
    x = 23,767,168.10/5,492.75
  6. Step 6: Final answer
    x = 4,327.01

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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.