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Finding the Fourth Proportional to 3,492.76, 5,226.57 and 2,566

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Solution

The fourth proportional to 3,492.76, 5,226.57 and 2,566 is: 3,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.76 : 5,226.57 = 2,566 : x
  2. Step 2: Convert to fraction form
    3,492.76/5,226.57 = 2,566/x
  3. Step 3: Cross multiply
    3,492.76x = 5,226.57 × 2,566
  4. Step 4: Simplify right side
    3,492.76x = 13,411,378.62
  5. Step 5: Solve for x
    x = 13,411,378.62/3,492.76
  6. Step 6: Final answer
    x = 3,839.77

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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.