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Finding the Fourth Proportional to 6,098.10, 8,416.80 and 4,330.26

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Solution

The fourth proportional to 6,098.10, 8,416.80 and 4,330.26 is: 5,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.10 : 8,416.80 = 4,330.26 : x
  2. Step 2: Convert to fraction form
    6,098.10/8,416.80 = 4,330.26/x
  3. Step 3: Cross multiply
    6,098.10x = 8,416.80 × 4,330.26
  4. Step 4: Simplify right side
    6,098.10x = 36,446,932.37
  5. Step 5: Solve for x
    x = 36,446,932.37/6,098.10
  6. Step 6: Final answer
    x = 5,976.77

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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.