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Finding the Fourth Proportional to 3,602.58, 5,401.70 and 1,408.69

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Solution

The fourth proportional to 3,602.58, 5,401.70 and 1,408.69 is: 2,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.58 : 5,401.70 = 1,408.69 : x
  2. Step 2: Convert to fraction form
    3,602.58/5,401.70 = 1,408.69/x
  3. Step 3: Cross multiply
    3,602.58x = 5,401.70 × 1,408.69
  4. Step 4: Simplify right side
    3,602.58x = 7,609,320.77
  5. Step 5: Solve for x
    x = 7,609,320.77/3,602.58
  6. Step 6: Final answer
    x = 2,112.19

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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.