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Finding the Fourth Proportional to 5,212.02, 7,818.80 and 1,513.77

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Solution

The fourth proportional to 5,212.02, 7,818.80 and 1,513.77 is: 2,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.02 : 7,818.80 = 1,513.77 : x
  2. Step 2: Convert to fraction form
    5,212.02/7,818.80 = 1,513.77/x
  3. Step 3: Cross multiply
    5,212.02x = 7,818.80 × 1,513.77
  4. Step 4: Simplify right side
    5,212.02x = 11,835,864.88
  5. Step 5: Solve for x
    x = 11,835,864.88/5,212.02
  6. Step 6: Final answer
    x = 2,270.88

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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.