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Finding the Fourth Proportional to 4,880.64, 7,322.16 and 2,416.62

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Solution

The fourth proportional to 4,880.64, 7,322.16 and 2,416.62 is: 3,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.64 : 7,322.16 = 2,416.62 : x
  2. Step 2: Convert to fraction form
    4,880.64/7,322.16 = 2,416.62/x
  3. Step 3: Cross multiply
    4,880.64x = 7,322.16 × 2,416.62
  4. Step 4: Simplify right side
    4,880.64x = 17,694,878.30
  5. Step 5: Solve for x
    x = 17,694,878.30/4,880.64
  6. Step 6: Final answer
    x = 3,625.52

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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.