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Finding the Fourth Proportional to 3,412.94, 4,707.05 and 2,085.75

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Solution

The fourth proportional to 3,412.94, 4,707.05 and 2,085.75 is: 2,876.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.94 : 4,707.05 = 2,085.75 : x
  2. Step 2: Convert to fraction form
    3,412.94/4,707.05 = 2,085.75/x
  3. Step 3: Cross multiply
    3,412.94x = 4,707.05 × 2,085.75
  4. Step 4: Simplify right side
    3,412.94x = 9,817,719.11
  5. Step 5: Solve for x
    x = 9,817,719.11/3,412.94
  6. Step 6: Final answer
    x = 2,876.62

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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.