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Finding the Fourth Proportional to 6,490.88, 9,735.84 and 2,592.80

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Solution

The fourth proportional to 6,490.88, 9,735.84 and 2,592.80 is: 3,889.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.88 : 9,735.84 = 2,592.80 : x
  2. Step 2: Convert to fraction form
    6,490.88/9,735.84 = 2,592.80/x
  3. Step 3: Cross multiply
    6,490.88x = 9,735.84 × 2,592.80
  4. Step 4: Simplify right side
    6,490.88x = 25,243,085.95
  5. Step 5: Solve for x
    x = 25,243,085.95/6,490.88
  6. Step 6: Final answer
    x = 3,889.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.