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Finding the Fourth Proportional to 3,435.60, 4,742.08 and 2,039.20

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Solution

The fourth proportional to 3,435.60, 4,742.08 and 2,039.20 is: 2,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.60 : 4,742.08 = 2,039.20 : x
  2. Step 2: Convert to fraction form
    3,435.60/4,742.08 = 2,039.20/x
  3. Step 3: Cross multiply
    3,435.60x = 4,742.08 × 2,039.20
  4. Step 4: Simplify right side
    3,435.60x = 9,670,049.54
  5. Step 5: Solve for x
    x = 9,670,049.54/3,435.60
  6. Step 6: Final answer
    x = 2,814.66

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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.