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Finding the Fourth Proportional to 3,638.66, 5,024.32 and 2,966.58

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Solution

The fourth proportional to 3,638.66, 5,024.32 and 2,966.58 is: 4,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.66 : 5,024.32 = 2,966.58 : x
  2. Step 2: Convert to fraction form
    3,638.66/5,024.32 = 2,966.58/x
  3. Step 3: Cross multiply
    3,638.66x = 5,024.32 × 2,966.58
  4. Step 4: Simplify right side
    3,638.66x = 14,905,047.23
  5. Step 5: Solve for x
    x = 14,905,047.23/3,638.66
  6. Step 6: Final answer
    x = 4,096.30

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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.