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Finding the Fourth Proportional to 3,638.54, 5,024.15 and 2,966.45

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Solution

The fourth proportional to 3,638.54, 5,024.15 and 2,966.45 is: 4,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.54 : 5,024.15 = 2,966.45 : x
  2. Step 2: Convert to fraction form
    3,638.54/5,024.15 = 2,966.45/x
  3. Step 3: Cross multiply
    3,638.54x = 5,024.15 × 2,966.45
  4. Step 4: Simplify right side
    3,638.54x = 14,903,849.81
  5. Step 5: Solve for x
    x = 14,903,849.81/3,638.54
  6. Step 6: Final answer
    x = 4,096.11

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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.