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Finding the Fourth Proportional to 4,153, 6,229.62 and 1,075

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Solution

The fourth proportional to 4,153, 6,229.62 and 1,075 is: 1,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153 : 6,229.62 = 1,075 : x
  2. Step 2: Convert to fraction form
    4,153/6,229.62 = 1,075/x
  3. Step 3: Cross multiply
    4,153x = 6,229.62 × 1,075
  4. Step 4: Simplify right side
    4,153x = 6,696,841.50
  5. Step 5: Solve for x
    x = 6,696,841.50/4,153
  6. Step 6: Final answer
    x = 1,612.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.