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Finding the Fourth Proportional to 4,078.68, 6,118.02 and 1,157.28

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Solution

The fourth proportional to 4,078.68, 6,118.02 and 1,157.28 is: 1,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.68 : 6,118.02 = 1,157.28 : x
  2. Step 2: Convert to fraction form
    4,078.68/6,118.02 = 1,157.28/x
  3. Step 3: Cross multiply
    4,078.68x = 6,118.02 × 1,157.28
  4. Step 4: Simplify right side
    4,078.68x = 7,080,262.19
  5. Step 5: Solve for x
    x = 7,080,262.19/4,078.68
  6. Step 6: Final answer
    x = 1,735.92

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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.