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Finding the Fourth Proportional to 4,206.92, 5,799.54 and 3,085.88

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Solution

The fourth proportional to 4,206.92, 5,799.54 and 3,085.88 is: 4,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.92 : 5,799.54 = 3,085.88 : x
  2. Step 2: Convert to fraction form
    4,206.92/5,799.54 = 3,085.88/x
  3. Step 3: Cross multiply
    4,206.92x = 5,799.54 × 3,085.88
  4. Step 4: Simplify right side
    4,206.92x = 17,896,684.50
  5. Step 5: Solve for x
    x = 17,896,684.50/4,206.92
  6. Step 6: Final answer
    x = 4,254.11

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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.