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Finding the Fourth Proportional to 3,968.68, 5,953 and 1,047.20

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Solution

The fourth proportional to 3,968.68, 5,953 and 1,047.20 is: 1,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.68 : 5,953 = 1,047.20 : x
  2. Step 2: Convert to fraction form
    3,968.68/5,953 = 1,047.20/x
  3. Step 3: Cross multiply
    3,968.68x = 5,953 × 1,047.20
  4. Step 4: Simplify right side
    3,968.68x = 6,233,981.60
  5. Step 5: Solve for x
    x = 6,233,981.60/3,968.68
  6. Step 6: Final answer
    x = 1,570.79

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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.