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Finding the Fourth Proportional to 5,764.80, 7,955.80 and 4,345.98

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Solution

The fourth proportional to 5,764.80, 7,955.80 and 4,345.98 is: 5,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.80 : 7,955.80 = 4,345.98 : x
  2. Step 2: Convert to fraction form
    5,764.80/7,955.80 = 4,345.98/x
  3. Step 3: Cross multiply
    5,764.80x = 7,955.80 × 4,345.98
  4. Step 4: Simplify right side
    5,764.80x = 34,575,747.68
  5. Step 5: Solve for x
    x = 34,575,747.68/5,764.80
  6. Step 6: Final answer
    x = 5,997.74

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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.