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Finding the Fourth Proportional to 3,880.60, 5,818.64 and 3,419.32

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Solution

The fourth proportional to 3,880.60, 5,818.64 and 3,419.32 is: 5,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.60 : 5,818.64 = 3,419.32 : x
  2. Step 2: Convert to fraction form
    3,880.60/5,818.64 = 3,419.32/x
  3. Step 3: Cross multiply
    3,880.60x = 5,818.64 × 3,419.32
  4. Step 4: Simplify right side
    3,880.60x = 19,895,792.12
  5. Step 5: Solve for x
    x = 19,895,792.12/3,880.60
  6. Step 6: Final answer
    x = 5,126.99

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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.