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Finding the Fourth Proportional to 3,410.79, 4,686.49 and 2,710.95

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Solution

The fourth proportional to 3,410.79, 4,686.49 and 2,710.95 is: 3,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.79 : 4,686.49 = 2,710.95 : x
  2. Step 2: Convert to fraction form
    3,410.79/4,686.49 = 2,710.95/x
  3. Step 3: Cross multiply
    3,410.79x = 4,686.49 × 2,710.95
  4. Step 4: Simplify right side
    3,410.79x = 12,704,833.29
  5. Step 5: Solve for x
    x = 12,704,833.29/3,410.79
  6. Step 6: Final answer
    x = 3,724.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.