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Finding the Fourth Proportional to 5,775.36, 8,666.16 and 3,828.48

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Solution

The fourth proportional to 5,775.36, 8,666.16 and 3,828.48 is: 5,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.36 : 8,666.16 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    5,775.36/8,666.16 = 3,828.48/x
  3. Step 3: Cross multiply
    5,775.36x = 8,666.16 × 3,828.48
  4. Step 4: Simplify right side
    5,775.36x = 33,178,220.24
  5. Step 5: Solve for x
    x = 33,178,220.24/5,775.36
  6. Step 6: Final answer
    x = 5,744.79

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1.5x scale

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.