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Finding the Fourth Proportional to 4,406.46, 6,609.90 and 2,457.18

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Solution

The fourth proportional to 4,406.46, 6,609.90 and 2,457.18 is: 3,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,406.46 : 6,609.90 = 2,457.18 : x
  2. Step 2: Convert to fraction form
    4,406.46/6,609.90 = 2,457.18/x
  3. Step 3: Cross multiply
    4,406.46x = 6,609.90 × 2,457.18
  4. Step 4: Simplify right side
    4,406.46x = 16,241,714.08
  5. Step 5: Solve for x
    x = 16,241,714.08/4,406.46
  6. Step 6: Final answer
    x = 3,685.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.