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Finding the Fourth Proportional to 6,596.22, 9,098.58 and 4,606.05

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Solution

The fourth proportional to 6,596.22, 9,098.58 and 4,606.05 is: 6,353.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.22 : 9,098.58 = 4,606.05 : x
  2. Step 2: Convert to fraction form
    6,596.22/9,098.58 = 4,606.05/x
  3. Step 3: Cross multiply
    6,596.22x = 9,098.58 × 4,606.05
  4. Step 4: Simplify right side
    6,596.22x = 41,908,514.41
  5. Step 5: Solve for x
    x = 41,908,514.41/6,596.22
  6. Step 6: Final answer
    x = 6,353.41

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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.