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Finding the Fourth Proportional to 5,309.64, 7,959.27 and 2,970.78

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Solution

The fourth proportional to 5,309.64, 7,959.27 and 2,970.78 is: 4,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.64 : 7,959.27 = 2,970.78 : x
  2. Step 2: Convert to fraction form
    5,309.64/7,959.27 = 2,970.78/x
  3. Step 3: Cross multiply
    5,309.64x = 7,959.27 × 2,970.78
  4. Step 4: Simplify right side
    5,309.64x = 23,645,240.13
  5. Step 5: Solve for x
    x = 23,645,240.13/5,309.64
  6. Step 6: Final answer
    x = 4,453.27

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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.