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Finding the Fourth Proportional to 3,640.30, 5,023.76 and 2,068.54

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Solution

The fourth proportional to 3,640.30, 5,023.76 and 2,068.54 is: 2,854.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.30 : 5,023.76 = 2,068.54 : x
  2. Step 2: Convert to fraction form
    3,640.30/5,023.76 = 2,068.54/x
  3. Step 3: Cross multiply
    3,640.30x = 5,023.76 × 2,068.54
  4. Step 4: Simplify right side
    3,640.30x = 10,391,848.51
  5. Step 5: Solve for x
    x = 10,391,848.51/3,640.30
  6. Step 6: Final answer
    x = 2,854.67

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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.