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Finding the Fourth Proportional to 5,271.68, 7,908.34 and 1,760.60

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Solution

The fourth proportional to 5,271.68, 7,908.34 and 1,760.60 is: 2,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.68 : 7,908.34 = 1,760.60 : x
  2. Step 2: Convert to fraction form
    5,271.68/7,908.34 = 1,760.60/x
  3. Step 3: Cross multiply
    5,271.68x = 7,908.34 × 1,760.60
  4. Step 4: Simplify right side
    5,271.68x = 13,923,423.40
  5. Step 5: Solve for x
    x = 13,923,423.40/5,271.68
  6. Step 6: Final answer
    x = 2,641.17

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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.