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Finding the Fourth Proportional to 5,026.34, 6,935.77 and 2,788

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Solution

The fourth proportional to 5,026.34, 6,935.77 and 2,788 is: 3,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.34 : 6,935.77 = 2,788 : x
  2. Step 2: Convert to fraction form
    5,026.34/6,935.77 = 2,788/x
  3. Step 3: Cross multiply
    5,026.34x = 6,935.77 × 2,788
  4. Step 4: Simplify right side
    5,026.34x = 19,336,926.76
  5. Step 5: Solve for x
    x = 19,336,926.76/5,026.34
  6. Step 6: Final answer
    x = 3,847.12

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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.