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Finding the Fourth Proportional to 4,623.84, 6,381.68 and 3,636.63

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Solution

The fourth proportional to 4,623.84, 6,381.68 and 3,636.63 is: 5,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.84 : 6,381.68 = 3,636.63 : x
  2. Step 2: Convert to fraction form
    4,623.84/6,381.68 = 3,636.63/x
  3. Step 3: Cross multiply
    4,623.84x = 6,381.68 × 3,636.63
  4. Step 4: Simplify right side
    4,623.84x = 23,207,790.76
  5. Step 5: Solve for x
    x = 23,207,790.76/4,623.84
  6. Step 6: Final answer
    x = 5,019.16

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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.