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Finding the Fourth Proportional to 4,959.42, 6,838.47 and 3,188.58

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Solution

The fourth proportional to 4,959.42, 6,838.47 and 3,188.58 is: 4,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.42 : 6,838.47 = 3,188.58 : x
  2. Step 2: Convert to fraction form
    4,959.42/6,838.47 = 3,188.58/x
  3. Step 3: Cross multiply
    4,959.42x = 6,838.47 × 3,188.58
  4. Step 4: Simplify right side
    4,959.42x = 21,805,008.67
  5. Step 5: Solve for x
    x = 21,805,008.67/4,959.42
  6. Step 6: Final answer
    x = 4,396.69

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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.