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Finding the Fourth Proportional to 4,965.86, 6,897.82 and 4,886.48

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Solution

The fourth proportional to 4,965.86, 6,897.82 and 4,886.48 is: 6,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.86 : 6,897.82 = 4,886.48 : x
  2. Step 2: Convert to fraction form
    4,965.86/6,897.82 = 4,886.48/x
  3. Step 3: Cross multiply
    4,965.86x = 6,897.82 × 4,886.48
  4. Step 4: Simplify right side
    4,965.86x = 33,706,035.04
  5. Step 5: Solve for x
    x = 33,706,035.04/4,965.86
  6. Step 6: Final answer
    x = 6,787.55

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.