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Finding the Fourth Proportional to 5,763.45, 8,639.64 and 3,677.58

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Solution

The fourth proportional to 5,763.45, 8,639.64 and 3,677.58 is: 5,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.45 : 8,639.64 = 3,677.58 : x
  2. Step 2: Convert to fraction form
    5,763.45/8,639.64 = 3,677.58/x
  3. Step 3: Cross multiply
    5,763.45x = 8,639.64 × 3,677.58
  4. Step 4: Simplify right side
    5,763.45x = 31,772,967.27
  5. Step 5: Solve for x
    x = 31,772,967.27/5,763.45
  6. Step 6: Final answer
    x = 5,512.84

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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.