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Finding the Fourth Proportional to 4,459.38, 6,688.93 and 1,826.13

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Solution

The fourth proportional to 4,459.38, 6,688.93 and 1,826.13 is: 2,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.38 : 6,688.93 = 1,826.13 : x
  2. Step 2: Convert to fraction form
    4,459.38/6,688.93 = 1,826.13/x
  3. Step 3: Cross multiply
    4,459.38x = 6,688.93 × 1,826.13
  4. Step 4: Simplify right side
    4,459.38x = 12,214,855.74
  5. Step 5: Solve for x
    x = 12,214,855.74/4,459.38
  6. Step 6: Final answer
    x = 2,739.14

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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.