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Finding the Fourth Proportional to 3,005.54, 4,140.86 and 2,096.18

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Solution

The fourth proportional to 3,005.54, 4,140.86 and 2,096.18 is: 2,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.54 : 4,140.86 = 2,096.18 : x
  2. Step 2: Convert to fraction form
    3,005.54/4,140.86 = 2,096.18/x
  3. Step 3: Cross multiply
    3,005.54x = 4,140.86 × 2,096.18
  4. Step 4: Simplify right side
    3,005.54x = 8,679,983.90
  5. Step 5: Solve for x
    x = 8,679,983.90/3,005.54
  6. Step 6: Final answer
    x = 2,888.00

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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.