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Finding the Fourth Proportional to 5,240.94, 7,861.30 and 1,543.08

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Solution

The fourth proportional to 5,240.94, 7,861.30 and 1,543.08 is: 2,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.94 : 7,861.30 = 1,543.08 : x
  2. Step 2: Convert to fraction form
    5,240.94/7,861.30 = 1,543.08/x
  3. Step 3: Cross multiply
    5,240.94x = 7,861.30 × 1,543.08
  4. Step 4: Simplify right side
    5,240.94x = 12,130,614.80
  5. Step 5: Solve for x
    x = 12,130,614.80/5,240.94
  6. Step 6: Final answer
    x = 2,314.59

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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.