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Finding the Fourth Proportional to 5,315.68, 7,968.12 and 2,538.28

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Solution

The fourth proportional to 5,315.68, 7,968.12 and 2,538.28 is: 3,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.68 : 7,968.12 = 2,538.28 : x
  2. Step 2: Convert to fraction form
    5,315.68/7,968.12 = 2,538.28/x
  3. Step 3: Cross multiply
    5,315.68x = 7,968.12 × 2,538.28
  4. Step 4: Simplify right side
    5,315.68x = 20,225,319.63
  5. Step 5: Solve for x
    x = 20,225,319.63/5,315.68
  6. Step 6: Final answer
    x = 3,804.84

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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.