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Finding the Fourth Proportional to 6,128.40, 8,456.02 and 4,237.05

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Solution

The fourth proportional to 6,128.40, 8,456.02 and 4,237.05 is: 5,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.40 : 8,456.02 = 4,237.05 : x
  2. Step 2: Convert to fraction form
    6,128.40/8,456.02 = 4,237.05/x
  3. Step 3: Cross multiply
    6,128.40x = 8,456.02 × 4,237.05
  4. Step 4: Simplify right side
    6,128.40x = 35,828,579.54
  5. Step 5: Solve for x
    x = 35,828,579.54/6,128.40
  6. Step 6: Final answer
    x = 5,846.32

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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.