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Finding the Fourth Proportional to 5,782.62, 7,976.76 and 3,657.50

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Solution

The fourth proportional to 5,782.62, 7,976.76 and 3,657.50 is: 5,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.62 : 7,976.76 = 3,657.50 : x
  2. Step 2: Convert to fraction form
    5,782.62/7,976.76 = 3,657.50/x
  3. Step 3: Cross multiply
    5,782.62x = 7,976.76 × 3,657.50
  4. Step 4: Simplify right side
    5,782.62x = 29,174,959.82
  5. Step 5: Solve for x
    x = 29,174,959.82/5,782.62
  6. Step 6: Final answer
    x = 5,045.28

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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.