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Finding the Fourth Proportional to 4,552, 6,279.70 and 2,783.28

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Solution

The fourth proportional to 4,552, 6,279.70 and 2,783.28 is: 3,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552 : 6,279.70 = 2,783.28 : x
  2. Step 2: Convert to fraction form
    4,552/6,279.70 = 2,783.28/x
  3. Step 3: Cross multiply
    4,552x = 6,279.70 × 2,783.28
  4. Step 4: Simplify right side
    4,552x = 17,478,163.42
  5. Step 5: Solve for x
    x = 17,478,163.42/4,552
  6. Step 6: Final answer
    x = 3,839.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.