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Finding the Fourth Proportional to 6,434.36, 8,879.38 and 3,602.00

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Solution

The fourth proportional to 6,434.36, 8,879.38 and 3,602.00 is: 4,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.36 : 8,879.38 = 3,602.00 : x
  2. Step 2: Convert to fraction form
    6,434.36/8,879.38 = 3,602.00/x
  3. Step 3: Cross multiply
    6,434.36x = 8,879.38 × 3,602.00
  4. Step 4: Simplify right side
    6,434.36x = 31,983,473.36
  5. Step 5: Solve for x
    x = 31,983,473.36/6,434.36
  6. Step 6: Final answer
    x = 4,970.73

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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.