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Finding the Fourth Proportional to 3,484.16, 4,808 and 2,087.68

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Solution

The fourth proportional to 3,484.16, 4,808 and 2,087.68 is: 2,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.16 : 4,808 = 2,087.68 : x
  2. Step 2: Convert to fraction form
    3,484.16/4,808 = 2,087.68/x
  3. Step 3: Cross multiply
    3,484.16x = 4,808 × 2,087.68
  4. Step 4: Simplify right side
    3,484.16x = 10,037,565.44
  5. Step 5: Solve for x
    x = 10,037,565.44/3,484.16
  6. Step 6: Final answer
    x = 2,880.91

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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.