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Finding the Fourth Proportional to 4,457.08, 6,687.90 and 1,826.50

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Solution

The fourth proportional to 4,457.08, 6,687.90 and 1,826.50 is: 2,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.08 : 6,687.90 = 1,826.50 : x
  2. Step 2: Convert to fraction form
    4,457.08/6,687.90 = 1,826.50/x
  3. Step 3: Cross multiply
    4,457.08x = 6,687.90 × 1,826.50
  4. Step 4: Simplify right side
    4,457.08x = 12,215,449.35
  5. Step 5: Solve for x
    x = 12,215,449.35/4,457.08
  6. Step 6: Final answer
    x = 2,740.68

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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.