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Finding the Fourth Proportional to 3,410.86, 4,707 and 1,918.84

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Solution

The fourth proportional to 3,410.86, 4,707 and 1,918.84 is: 2,648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.86 : 4,707 = 1,918.84 : x
  2. Step 2: Convert to fraction form
    3,410.86/4,707 = 1,918.84/x
  3. Step 3: Cross multiply
    3,410.86x = 4,707 × 1,918.84
  4. Step 4: Simplify right side
    3,410.86x = 9,031,979.88
  5. Step 5: Solve for x
    x = 9,031,979.88/3,410.86
  6. Step 6: Final answer
    x = 2,648.01

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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.