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Finding the Fourth Proportional to 3,639.68, 5,457.64 and 1,298.80

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Solution

The fourth proportional to 3,639.68, 5,457.64 and 1,298.80 is: 1,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.68 : 5,457.64 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    3,639.68/5,457.64 = 1,298.80/x
  3. Step 3: Cross multiply
    3,639.68x = 5,457.64 × 1,298.80
  4. Step 4: Simplify right side
    3,639.68x = 7,088,382.83
  5. Step 5: Solve for x
    x = 7,088,382.83/3,639.68
  6. Step 6: Final answer
    x = 1,947.53

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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.