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Finding the Fourth Proportional to 3,410.60, 5,115.88 and 1,102.10

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Solution

The fourth proportional to 3,410.60, 5,115.88 and 1,102.10 is: 1,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.60 : 5,115.88 = 1,102.10 : x
  2. Step 2: Convert to fraction form
    3,410.60/5,115.88 = 1,102.10/x
  3. Step 3: Cross multiply
    3,410.60x = 5,115.88 × 1,102.10
  4. Step 4: Simplify right side
    3,410.60x = 5,638,205.84
  5. Step 5: Solve for x
    x = 5,638,205.84/3,410.60
  6. Step 6: Final answer
    x = 1,653.14

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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.