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Finding the Fourth Proportional to 3,106.62, 4,287.34 and 1,709.46

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Solution

The fourth proportional to 3,106.62, 4,287.34 and 1,709.46 is: 2,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.62 : 4,287.34 = 1,709.46 : x
  2. Step 2: Convert to fraction form
    3,106.62/4,287.34 = 1,709.46/x
  3. Step 3: Cross multiply
    3,106.62x = 4,287.34 × 1,709.46
  4. Step 4: Simplify right side
    3,106.62x = 7,329,036.24
  5. Step 5: Solve for x
    x = 7,329,036.24/3,106.62
  6. Step 6: Final answer
    x = 2,359.17

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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.