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Finding the Fourth Proportional to 3,516.98, 4,852.14 and 2,153.78

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Solution

The fourth proportional to 3,516.98, 4,852.14 and 2,153.78 is: 2,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.98 : 4,852.14 = 2,153.78 : x
  2. Step 2: Convert to fraction form
    3,516.98/4,852.14 = 2,153.78/x
  3. Step 3: Cross multiply
    3,516.98x = 4,852.14 × 2,153.78
  4. Step 4: Simplify right side
    3,516.98x = 10,450,417.83
  5. Step 5: Solve for x
    x = 10,450,417.83/3,516.98
  6. Step 6: Final answer
    x = 2,971.42

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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.