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Finding the Fourth Proportional to 5,492.16, 8,229.60 and 3,178.08

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Solution

The fourth proportional to 5,492.16, 8,229.60 and 3,178.08 is: 4,762.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.16 : 8,229.60 = 3,178.08 : x
  2. Step 2: Convert to fraction form
    5,492.16/8,229.60 = 3,178.08/x
  3. Step 3: Cross multiply
    5,492.16x = 8,229.60 × 3,178.08
  4. Step 4: Simplify right side
    5,492.16x = 26,154,327.17
  5. Step 5: Solve for x
    x = 26,154,327.17/5,492.16
  6. Step 6: Final answer
    x = 4,762.12

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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.