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Finding the Fourth Proportional to 3,799.57, 5,696.65 and 1,457.61

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Solution

The fourth proportional to 3,799.57, 5,696.65 and 1,457.61 is: 2,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.57 : 5,696.65 = 1,457.61 : x
  2. Step 2: Convert to fraction form
    3,799.57/5,696.65 = 1,457.61/x
  3. Step 3: Cross multiply
    3,799.57x = 5,696.65 × 1,457.61
  4. Step 4: Simplify right side
    3,799.57x = 8,303,494.01
  5. Step 5: Solve for x
    x = 8,303,494.01/3,799.57
  6. Step 6: Final answer
    x = 2,185.38

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1.5x scale

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.