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Finding the Fourth Proportional to 5,763.56, 7,955.30 and 3,405.80

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Solution

The fourth proportional to 5,763.56, 7,955.30 and 3,405.80 is: 4,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.56 : 7,955.30 = 3,405.80 : x
  2. Step 2: Convert to fraction form
    5,763.56/7,955.30 = 3,405.80/x
  3. Step 3: Cross multiply
    5,763.56x = 7,955.30 × 3,405.80
  4. Step 4: Simplify right side
    5,763.56x = 27,094,160.74
  5. Step 5: Solve for x
    x = 27,094,160.74/5,763.56
  6. Step 6: Final answer
    x = 4,700.94

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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.