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Finding the Fourth Proportional to 3,920.16, 5,892.48 and 2,468.64

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Solution

The fourth proportional to 3,920.16, 5,892.48 and 2,468.64 is: 3,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.16 : 5,892.48 = 2,468.64 : x
  2. Step 2: Convert to fraction form
    3,920.16/5,892.48 = 2,468.64/x
  3. Step 3: Cross multiply
    3,920.16x = 5,892.48 × 2,468.64
  4. Step 4: Simplify right side
    3,920.16x = 14,546,411.83
  5. Step 5: Solve for x
    x = 14,546,411.83/3,920.16
  6. Step 6: Final answer
    x = 3,710.67

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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.