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Finding the Fourth Proportional to 5,171.76, 7,756.68 and 1,886.40

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Solution

The fourth proportional to 5,171.76, 7,756.68 and 1,886.40 is: 2,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.76 : 7,756.68 = 1,886.40 : x
  2. Step 2: Convert to fraction form
    5,171.76/7,756.68 = 1,886.40/x
  3. Step 3: Cross multiply
    5,171.76x = 7,756.68 × 1,886.40
  4. Step 4: Simplify right side
    5,171.76x = 14,632,201.15
  5. Step 5: Solve for x
    x = 14,632,201.15/5,171.76
  6. Step 6: Final answer
    x = 2,829.25

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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.