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Finding the Fourth Proportional to 4,636.21, 6,384.01 and 4,005.63

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Solution

The fourth proportional to 4,636.21, 6,384.01 and 4,005.63 is: 5,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.21 : 6,384.01 = 4,005.63 : x
  2. Step 2: Convert to fraction form
    4,636.21/6,384.01 = 4,005.63/x
  3. Step 3: Cross multiply
    4,636.21x = 6,384.01 × 4,005.63
  4. Step 4: Simplify right side
    4,636.21x = 25,571,981.98
  5. Step 5: Solve for x
    x = 25,571,981.98/4,636.21
  6. Step 6: Final answer
    x = 5,515.71

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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.