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Finding the Fourth Proportional to 5,795.76, 7,996.68 and 3,405.36

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Solution

The fourth proportional to 5,795.76, 7,996.68 and 3,405.36 is: 4,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.76 : 7,996.68 = 3,405.36 : x
  2. Step 2: Convert to fraction form
    5,795.76/7,996.68 = 3,405.36/x
  3. Step 3: Cross multiply
    5,795.76x = 7,996.68 × 3,405.36
  4. Step 4: Simplify right side
    5,795.76x = 27,231,574.20
  5. Step 5: Solve for x
    x = 27,231,574.20/5,795.76
  6. Step 6: Final answer
    x = 4,698.53

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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.