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Finding the Fourth Proportional to 3,522.52, 4,856.34 and 3,023

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Solution

The fourth proportional to 3,522.52, 4,856.34 and 3,023 is: 4,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.52 : 4,856.34 = 3,023 : x
  2. Step 2: Convert to fraction form
    3,522.52/4,856.34 = 3,023/x
  3. Step 3: Cross multiply
    3,522.52x = 4,856.34 × 3,023
  4. Step 4: Simplify right side
    3,522.52x = 14,680,715.82
  5. Step 5: Solve for x
    x = 14,680,715.82/3,522.52
  6. Step 6: Final answer
    x = 4,167.67

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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.