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Finding the Fourth Proportional to 4,763.74, 6,564.60 and 3,645.94

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Solution

The fourth proportional to 4,763.74, 6,564.60 and 3,645.94 is: 5,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.74 : 6,564.60 = 3,645.94 : x
  2. Step 2: Convert to fraction form
    4,763.74/6,564.60 = 3,645.94/x
  3. Step 3: Cross multiply
    4,763.74x = 6,564.60 × 3,645.94
  4. Step 4: Simplify right side
    4,763.74x = 23,934,137.72
  5. Step 5: Solve for x
    x = 23,934,137.72/4,763.74
  6. Step 6: Final answer
    x = 5,024.23

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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.