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Finding the Fourth Proportional to 5,240.57, 7,858.80 and 1,952.91

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Solution

The fourth proportional to 5,240.57, 7,858.80 and 1,952.91 is: 2,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.57 : 7,858.80 = 1,952.91 : x
  2. Step 2: Convert to fraction form
    5,240.57/7,858.80 = 1,952.91/x
  3. Step 3: Cross multiply
    5,240.57x = 7,858.80 × 1,952.91
  4. Step 4: Simplify right side
    5,240.57x = 15,347,529.11
  5. Step 5: Solve for x
    x = 15,347,529.11/5,240.57
  6. Step 6: Final answer
    x = 2,928.60

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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.