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Finding the Fourth Proportional to 3,531.86, 4,871.20 and 2,469.28

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Solution

The fourth proportional to 3,531.86, 4,871.20 and 2,469.28 is: 3,405.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.86 : 4,871.20 = 2,469.28 : x
  2. Step 2: Convert to fraction form
    3,531.86/4,871.20 = 2,469.28/x
  3. Step 3: Cross multiply
    3,531.86x = 4,871.20 × 2,469.28
  4. Step 4: Simplify right side
    3,531.86x = 12,028,356.74
  5. Step 5: Solve for x
    x = 12,028,356.74/3,531.86
  6. Step 6: Final answer
    x = 3,405.67

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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.