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Finding the Fourth Proportional to 4,751.35, 7,127.63 and 1,829.27

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Solution

The fourth proportional to 4,751.35, 7,127.63 and 1,829.27 is: 2,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.35 : 7,127.63 = 1,829.27 : x
  2. Step 2: Convert to fraction form
    4,751.35/7,127.63 = 1,829.27/x
  3. Step 3: Cross multiply
    4,751.35x = 7,127.63 × 1,829.27
  4. Step 4: Simplify right side
    4,751.35x = 13,038,375.26
  5. Step 5: Solve for x
    x = 13,038,375.26/4,751.35
  6. Step 6: Final answer
    x = 2,744.14

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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.