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Finding the Fourth Proportional to 3,602.39, 5,403.63 and 1,412.15

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Solution

The fourth proportional to 3,602.39, 5,403.63 and 1,412.15 is: 2,118.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.39 : 5,403.63 = 1,412.15 : x
  2. Step 2: Convert to fraction form
    3,602.39/5,403.63 = 1,412.15/x
  3. Step 3: Cross multiply
    3,602.39x = 5,403.63 × 1,412.15
  4. Step 4: Simplify right side
    3,602.39x = 7,630,736.10
  5. Step 5: Solve for x
    x = 7,630,736.10/3,602.39
  6. Step 6: Final answer
    x = 2,118.24

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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.