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Finding the Fourth Proportional to 5,026, 6,935.88 and 2,818

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Solution

The fourth proportional to 5,026, 6,935.88 and 2,818 is: 3,888.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026 : 6,935.88 = 2,818 : x
  2. Step 2: Convert to fraction form
    5,026/6,935.88 = 2,818/x
  3. Step 3: Cross multiply
    5,026x = 6,935.88 × 2,818
  4. Step 4: Simplify right side
    5,026x = 19,545,309.84
  5. Step 5: Solve for x
    x = 19,545,309.84/5,026
  6. Step 6: Final answer
    x = 3,888.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.