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Finding the Fourth Proportional to 3,410.62, 4,707.51 and 2,085.10

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Solution

The fourth proportional to 3,410.62, 4,707.51 and 2,085.10 is: 2,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.62 : 4,707.51 = 2,085.10 : x
  2. Step 2: Convert to fraction form
    3,410.62/4,707.51 = 2,085.10/x
  3. Step 3: Cross multiply
    3,410.62x = 4,707.51 × 2,085.10
  4. Step 4: Simplify right side
    3,410.62x = 9,815,629.10
  5. Step 5: Solve for x
    x = 9,815,629.10/3,410.62
  6. Step 6: Final answer
    x = 2,877.96

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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.