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Finding the Fourth Proportional to 3,733.77, 5,597.13 and 1,266.84

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Solution

The fourth proportional to 3,733.77, 5,597.13 and 1,266.84 is: 1,899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.77 : 5,597.13 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    3,733.77/5,597.13 = 1,266.84/x
  3. Step 3: Cross multiply
    3,733.77x = 5,597.13 × 1,266.84
  4. Step 4: Simplify right side
    3,733.77x = 7,090,668.17
  5. Step 5: Solve for x
    x = 7,090,668.17/3,733.77
  6. Step 6: Final answer
    x = 1,899.06

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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.