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Finding the Fourth Proportional to 6,492.57, 8,957.64 and 3,972.05

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Solution

The fourth proportional to 6,492.57, 8,957.64 and 3,972.05 is: 5,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.57 : 8,957.64 = 3,972.05 : x
  2. Step 2: Convert to fraction form
    6,492.57/8,957.64 = 3,972.05/x
  3. Step 3: Cross multiply
    6,492.57x = 8,957.64 × 3,972.05
  4. Step 4: Simplify right side
    6,492.57x = 35,580,241.39
  5. Step 5: Solve for x
    x = 35,580,241.39/6,492.57
  6. Step 6: Final answer
    x = 5,480.15

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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.