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Finding the Fourth Proportional to 3,435.60, 4,742.16 and 2,039.16

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Solution

The fourth proportional to 3,435.60, 4,742.16 and 2,039.16 is: 2,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.60 : 4,742.16 = 2,039.16 : x
  2. Step 2: Convert to fraction form
    3,435.60/4,742.16 = 2,039.16/x
  3. Step 3: Cross multiply
    3,435.60x = 4,742.16 × 2,039.16
  4. Step 4: Simplify right side
    3,435.60x = 9,670,022.99
  5. Step 5: Solve for x
    x = 9,670,022.99/3,435.60
  6. Step 6: Final answer
    x = 2,814.65

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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.