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Finding the Fourth Proportional to 5,602.44, 7,733.88 and 4,110.42

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Solution

The fourth proportional to 5,602.44, 7,733.88 and 4,110.42 is: 5,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.44 : 7,733.88 = 4,110.42 : x
  2. Step 2: Convert to fraction form
    5,602.44/7,733.88 = 4,110.42/x
  3. Step 3: Cross multiply
    5,602.44x = 7,733.88 × 4,110.42
  4. Step 4: Simplify right side
    5,602.44x = 31,789,495.03
  5. Step 5: Solve for x
    x = 31,789,495.03/5,602.44
  6. Step 6: Final answer
    x = 5,674.22

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1.5x scale

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.