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Finding the Fourth Proportional to 5,775.22, 7,962.06 and 3,785.05

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Solution

The fourth proportional to 5,775.22, 7,962.06 and 3,785.05 is: 5,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.22 : 7,962.06 = 3,785.05 : x
  2. Step 2: Convert to fraction form
    5,775.22/7,962.06 = 3,785.05/x
  3. Step 3: Cross multiply
    5,775.22x = 7,962.06 × 3,785.05
  4. Step 4: Simplify right side
    5,775.22x = 30,136,795.20
  5. Step 5: Solve for x
    x = 30,136,795.20/5,775.22
  6. Step 6: Final answer
    x = 5,218.29

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1.5x scale

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.