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Finding the Fourth Proportional to 4,020, 6,030 and 1,829.36

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Solution

The fourth proportional to 4,020, 6,030 and 1,829.36 is: 2,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,020 : 6,030 = 1,829.36 : x
  2. Step 2: Convert to fraction form
    4,020/6,030 = 1,829.36/x
  3. Step 3: Cross multiply
    4,020x = 6,030 × 1,829.36
  4. Step 4: Simplify right side
    4,020x = 11,031,010.65
  5. Step 5: Solve for x
    x = 11,031,010.65/4,020
  6. Step 6: Final answer
    x = 2,744.03

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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.