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Finding the Fourth Proportional to 5,764.02, 7,952.34 and 3,775.74

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Solution

The fourth proportional to 5,764.02, 7,952.34 and 3,775.74 is: 5,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.02 : 7,952.34 = 3,775.74 : x
  2. Step 2: Convert to fraction form
    5,764.02/7,952.34 = 3,775.74/x
  3. Step 3: Cross multiply
    5,764.02x = 7,952.34 × 3,775.74
  4. Step 4: Simplify right side
    5,764.02x = 30,025,968.23
  5. Step 5: Solve for x
    x = 30,025,968.23/5,764.02
  6. Step 6: Final answer
    x = 5,209.21

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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.