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Finding the Fourth Proportional to 3,538.40, 5,307.60 and 941.60

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Solution

The fourth proportional to 3,538.40, 5,307.60 and 941.60 is: 1,412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.40 : 5,307.60 = 941.60 : x
  2. Step 2: Convert to fraction form
    3,538.40/5,307.60 = 941.60/x
  3. Step 3: Cross multiply
    3,538.40x = 5,307.60 × 941.60
  4. Step 4: Simplify right side
    3,538.40x = 4,997,636.16
  5. Step 5: Solve for x
    x = 4,997,636.16/3,538.40
  6. Step 6: Final answer
    x = 1,412.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.