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Finding the Fourth Proportional to 4,897.68, 6,759.63 and 2,909.31

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Solution

The fourth proportional to 4,897.68, 6,759.63 and 2,909.31 is: 4,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.68 : 6,759.63 = 2,909.31 : x
  2. Step 2: Convert to fraction form
    4,897.68/6,759.63 = 2,909.31/x
  3. Step 3: Cross multiply
    4,897.68x = 6,759.63 × 2,909.31
  4. Step 4: Simplify right side
    4,897.68x = 19,665,859.16
  5. Step 5: Solve for x
    x = 19,665,859.16/4,897.68
  6. Step 6: Final answer
    x = 4,015.34

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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.