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Finding the Fourth Proportional to 5,765.30, 7,955.79 and 3,407.66

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Solution

The fourth proportional to 5,765.30, 7,955.79 and 3,407.66 is: 4,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.30 : 7,955.79 = 3,407.66 : x
  2. Step 2: Convert to fraction form
    5,765.30/7,955.79 = 3,407.66/x
  3. Step 3: Cross multiply
    5,765.30x = 7,955.79 × 3,407.66
  4. Step 4: Simplify right side
    5,765.30x = 27,110,627.35
  5. Step 5: Solve for x
    x = 27,110,627.35/5,765.30
  6. Step 6: Final answer
    x = 4,702.38

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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.