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Finding the Fourth Proportional to 6,434.77, 8,879.24 and 3,602.31

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Solution

The fourth proportional to 6,434.77, 8,879.24 and 3,602.31 is: 4,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.77 : 8,879.24 = 3,602.31 : x
  2. Step 2: Convert to fraction form
    6,434.77/8,879.24 = 3,602.31/x
  3. Step 3: Cross multiply
    6,434.77x = 8,879.24 × 3,602.31
  4. Step 4: Simplify right side
    6,434.77x = 31,985,775.04
  5. Step 5: Solve for x
    x = 31,985,775.04/6,434.77
  6. Step 6: Final answer
    x = 4,970.77

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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.