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Finding the Fourth Proportional to 5,166.15, 7,750.14 and 1,878.96

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Solution

The fourth proportional to 5,166.15, 7,750.14 and 1,878.96 is: 2,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.15 : 7,750.14 = 1,878.96 : x
  2. Step 2: Convert to fraction form
    5,166.15/7,750.14 = 1,878.96/x
  3. Step 3: Cross multiply
    5,166.15x = 7,750.14 × 1,878.96
  4. Step 4: Simplify right side
    5,166.15x = 14,562,203.05
  5. Step 5: Solve for x
    x = 14,562,203.05/5,166.15
  6. Step 6: Final answer
    x = 2,818.77

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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.