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Finding the Fourth Proportional to 4,056.81, 6,085.84 and 1,716.82

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Solution

The fourth proportional to 4,056.81, 6,085.84 and 1,716.82 is: 2,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,056.81 : 6,085.84 = 1,716.82 : x
  2. Step 2: Convert to fraction form
    4,056.81/6,085.84 = 1,716.82/x
  3. Step 3: Cross multiply
    4,056.81x = 6,085.84 × 1,716.82
  4. Step 4: Simplify right side
    4,056.81x = 10,448,291.83
  5. Step 5: Solve for x
    x = 10,448,291.83/4,056.81
  6. Step 6: Final answer
    x = 2,575.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.