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Finding the Fourth Proportional to 5,615.12, 7,748.88 and 3,256.40

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Solution

The fourth proportional to 5,615.12, 7,748.88 and 3,256.40 is: 4,493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.12 : 7,748.88 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    5,615.12/7,748.88 = 3,256.40/x
  3. Step 3: Cross multiply
    5,615.12x = 7,748.88 × 3,256.40
  4. Step 4: Simplify right side
    5,615.12x = 25,233,452.83
  5. Step 5: Solve for x
    x = 25,233,452.83/5,615.12
  6. Step 6: Final answer
    x = 4,493.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.