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Finding the Fourth Proportional to 4,289.68, 5,920.04 and 2,401.44

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Solution

The fourth proportional to 4,289.68, 5,920.04 and 2,401.44 is: 3,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.68 : 5,920.04 = 2,401.44 : x
  2. Step 2: Convert to fraction form
    4,289.68/5,920.04 = 2,401.44/x
  3. Step 3: Cross multiply
    4,289.68x = 5,920.04 × 2,401.44
  4. Step 4: Simplify right side
    4,289.68x = 14,216,620.86
  5. Step 5: Solve for x
    x = 14,216,620.86/4,289.68
  6. Step 6: Final answer
    x = 3,314.14

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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.