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Finding the Fourth Proportional to 3,851.34, 5,777.02 and 929.64

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Solution

The fourth proportional to 3,851.34, 5,777.02 and 929.64 is: 1,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.34 : 5,777.02 = 929.64 : x
  2. Step 2: Convert to fraction form
    3,851.34/5,777.02 = 929.64/x
  3. Step 3: Cross multiply
    3,851.34x = 5,777.02 × 929.64
  4. Step 4: Simplify right side
    3,851.34x = 5,370,548.87
  5. Step 5: Solve for x
    x = 5,370,548.87/3,851.34
  6. Step 6: Final answer
    x = 1,394.46

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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.