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Finding the Fourth Proportional to 5,197.69, 7,784.34 and 4,510

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Solution

The fourth proportional to 5,197.69, 7,784.34 and 4,510 is: 6,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.69 : 7,784.34 = 4,510 : x
  2. Step 2: Convert to fraction form
    5,197.69/7,784.34 = 4,510/x
  3. Step 3: Cross multiply
    5,197.69x = 7,784.34 × 4,510
  4. Step 4: Simplify right side
    5,197.69x = 35,107,373.40
  5. Step 5: Solve for x
    x = 35,107,373.40/5,197.69
  6. Step 6: Final answer
    x = 6,754.42

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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.