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Finding the Fourth Proportional to 3,410.10, 4,706.10 and 1,918.08

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Solution

The fourth proportional to 3,410.10, 4,706.10 and 1,918.08 is: 2,647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.10 : 4,706.10 = 1,918.08 : x
  2. Step 2: Convert to fraction form
    3,410.10/4,706.10 = 1,918.08/x
  3. Step 3: Cross multiply
    3,410.10x = 4,706.10 × 1,918.08
  4. Step 4: Simplify right side
    3,410.10x = 9,026,676.29
  5. Step 5: Solve for x
    x = 9,026,676.29/3,410.10
  6. Step 6: Final answer
    x = 2,647.04

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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.