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Finding the Fourth Proportional to 4,503.76, 6,756 and 1,383.48

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Solution

The fourth proportional to 4,503.76, 6,756 and 1,383.48 is: 2,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,503.76 : 6,756 = 1,383.48 : x
  2. Step 2: Convert to fraction form
    4,503.76/6,756 = 1,383.48/x
  3. Step 3: Cross multiply
    4,503.76x = 6,756 × 1,383.48
  4. Step 4: Simplify right side
    4,503.76x = 9,346,790.88
  5. Step 5: Solve for x
    x = 9,346,790.88/4,503.76
  6. Step 6: Final answer
    x = 2,075.33

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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.