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Finding the Fourth Proportional to 3,538.50, 5,307.75 and 941.46

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Solution

The fourth proportional to 3,538.50, 5,307.75 and 941.46 is: 1,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.50 : 5,307.75 = 941.46 : x
  2. Step 2: Convert to fraction form
    3,538.50/5,307.75 = 941.46/x
  3. Step 3: Cross multiply
    3,538.50x = 5,307.75 × 941.46
  4. Step 4: Simplify right side
    3,538.50x = 4,997,034.32
  5. Step 5: Solve for x
    x = 4,997,034.32/3,538.50
  6. Step 6: Final answer
    x = 1,412.19

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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.