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Finding the Fourth Proportional to 5,237.76, 7,855.42 and 1,952.40

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Solution

The fourth proportional to 5,237.76, 7,855.42 and 1,952.40 is: 2,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.76 : 7,855.42 = 1,952.40 : x
  2. Step 2: Convert to fraction form
    5,237.76/7,855.42 = 1,952.40/x
  3. Step 3: Cross multiply
    5,237.76x = 7,855.42 × 1,952.40
  4. Step 4: Simplify right side
    5,237.76x = 15,336,877.85
  5. Step 5: Solve for x
    x = 15,336,877.85/5,237.76
  6. Step 6: Final answer
    x = 2,928.14

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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.