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Finding the Fourth Proportional to 6,434.98, 8,879.62 and 3,602.17

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Solution

The fourth proportional to 6,434.98, 8,879.62 and 3,602.17 is: 4,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.98 : 8,879.62 = 3,602.17 : x
  2. Step 2: Convert to fraction form
    6,434.98/8,879.62 = 3,602.17/x
  3. Step 3: Cross multiply
    6,434.98x = 8,879.62 × 3,602.17
  4. Step 4: Simplify right side
    6,434.98x = 31,985,847.37
  5. Step 5: Solve for x
    x = 31,985,847.37/6,434.98
  6. Step 6: Final answer
    x = 4,970.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.