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Finding the Fourth Proportional to 5,176.08, 7,762.08 and 2,252.40

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Solution

The fourth proportional to 5,176.08, 7,762.08 and 2,252.40 is: 3,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.08 : 7,762.08 = 2,252.40 : x
  2. Step 2: Convert to fraction form
    5,176.08/7,762.08 = 2,252.40/x
  3. Step 3: Cross multiply
    5,176.08x = 7,762.08 × 2,252.40
  4. Step 4: Simplify right side
    5,176.08x = 17,483,308.99
  5. Step 5: Solve for x
    x = 17,483,308.99/5,176.08
  6. Step 6: Final answer
    x = 3,377.71

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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.