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Finding the Fourth Proportional to 5,026.88, 6,934.08 and 3,704

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Solution

The fourth proportional to 5,026.88, 6,934.08 and 3,704 is: 5,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.88 : 6,934.08 = 3,704 : x
  2. Step 2: Convert to fraction form
    5,026.88/6,934.08 = 3,704/x
  3. Step 3: Cross multiply
    5,026.88x = 6,934.08 × 3,704
  4. Step 4: Simplify right side
    5,026.88x = 25,683,832.32
  5. Step 5: Solve for x
    x = 25,683,832.32/5,026.88
  6. Step 6: Final answer
    x = 5,109.30

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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.