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Finding the Fourth Proportional to 4,206.06, 5,797.80 and 3,085.38

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Solution

The fourth proportional to 4,206.06, 5,797.80 and 3,085.38 is: 4,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.06 : 5,797.80 = 3,085.38 : x
  2. Step 2: Convert to fraction form
    4,206.06/5,797.80 = 3,085.38/x
  3. Step 3: Cross multiply
    4,206.06x = 5,797.80 × 3,085.38
  4. Step 4: Simplify right side
    4,206.06x = 17,888,416.16
  5. Step 5: Solve for x
    x = 17,888,416.16/4,206.06
  6. Step 6: Final answer
    x = 4,253.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.