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Finding the Fourth Proportional to 5,147.04, 7,703.28 and 4,274.40

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Solution

The fourth proportional to 5,147.04, 7,703.28 and 4,274.40 is: 6,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.04 : 7,703.28 = 4,274.40 : x
  2. Step 2: Convert to fraction form
    5,147.04/7,703.28 = 4,274.40/x
  3. Step 3: Cross multiply
    5,147.04x = 7,703.28 × 4,274.40
  4. Step 4: Simplify right side
    5,147.04x = 32,926,900.03
  5. Step 5: Solve for x
    x = 32,926,900.03/5,147.04
  6. Step 6: Final answer
    x = 6,397.25

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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.