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Finding the Fourth Proportional to 4,664.98, 6,437.84 and 2,897.56

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Solution

The fourth proportional to 4,664.98, 6,437.84 and 2,897.56 is: 3,998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.98 : 6,437.84 = 2,897.56 : x
  2. Step 2: Convert to fraction form
    4,664.98/6,437.84 = 2,897.56/x
  3. Step 3: Cross multiply
    4,664.98x = 6,437.84 × 2,897.56
  4. Step 4: Simplify right side
    4,664.98x = 18,654,027.67
  5. Step 5: Solve for x
    x = 18,654,027.67/4,664.98
  6. Step 6: Final answer
    x = 3,998.74

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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.