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Finding the Fourth Proportional to 5,618.40, 7,750.05 and 3,630.13

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Solution

The fourth proportional to 5,618.40, 7,750.05 and 3,630.13 is: 5,007.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.40 : 7,750.05 = 3,630.13 : x
  2. Step 2: Convert to fraction form
    5,618.40/7,750.05 = 3,630.13/x
  3. Step 3: Cross multiply
    5,618.40x = 7,750.05 × 3,630.13
  4. Step 4: Simplify right side
    5,618.40x = 28,133,669.63
  5. Step 5: Solve for x
    x = 28,133,669.63/5,618.40
  6. Step 6: Final answer
    x = 5,007.42

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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.