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Finding the Fourth Proportional to 5,227.04, 7,842.56 and 1,941.60

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Solution

The fourth proportional to 5,227.04, 7,842.56 and 1,941.60 is: 2,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.04 : 7,842.56 = 1,941.60 : x
  2. Step 2: Convert to fraction form
    5,227.04/7,842.56 = 1,941.60/x
  3. Step 3: Cross multiply
    5,227.04x = 7,842.56 × 1,941.60
  4. Step 4: Simplify right side
    5,227.04x = 15,227,114.50
  5. Step 5: Solve for x
    x = 15,227,114.50/5,227.04
  6. Step 6: Final answer
    x = 2,913.14

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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.