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Finding the Fourth Proportional to 5,702.78, 8,556.88 and 3,950.48

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Solution

The fourth proportional to 5,702.78, 8,556.88 and 3,950.48 is: 5,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.78 : 8,556.88 = 3,950.48 : x
  2. Step 2: Convert to fraction form
    5,702.78/8,556.88 = 3,950.48/x
  3. Step 3: Cross multiply
    5,702.78x = 8,556.88 × 3,950.48
  4. Step 4: Simplify right side
    5,702.78x = 33,803,809.63
  5. Step 5: Solve for x
    x = 33,803,809.63/5,702.78
  6. Step 6: Final answer
    x = 5,927.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.