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Finding the Fourth Proportional to 5,762.02, 7,951.56 and 3,244.14

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Solution

The fourth proportional to 5,762.02, 7,951.56 and 3,244.14 is: 4,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.02 : 7,951.56 = 3,244.14 : x
  2. Step 2: Convert to fraction form
    5,762.02/7,951.56 = 3,244.14/x
  3. Step 3: Cross multiply
    5,762.02x = 7,951.56 × 3,244.14
  4. Step 4: Simplify right side
    5,762.02x = 25,795,973.86
  5. Step 5: Solve for x
    x = 25,795,973.86/5,762.02
  6. Step 6: Final answer
    x = 4,476.90

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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.