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Finding the Fourth Proportional to 5,816.97, 8,725.34 and 1,657.00

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Solution

The fourth proportional to 5,816.97, 8,725.34 and 1,657.00 is: 2,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.97 : 8,725.34 = 1,657.00 : x
  2. Step 2: Convert to fraction form
    5,816.97/8,725.34 = 1,657.00/x
  3. Step 3: Cross multiply
    5,816.97x = 8,725.34 × 1,657.00
  4. Step 4: Simplify right side
    5,816.97x = 14,457,929.14
  5. Step 5: Solve for x
    x = 14,457,929.14/5,816.97
  6. Step 6: Final answer
    x = 2,485.47

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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.