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Finding the Fourth Proportional to 4,777.23, 7,164.46 and 1,657.11

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Solution

The fourth proportional to 4,777.23, 7,164.46 and 1,657.11 is: 2,485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.23 : 7,164.46 = 1,657.11 : x
  2. Step 2: Convert to fraction form
    4,777.23/7,164.46 = 1,657.11/x
  3. Step 3: Cross multiply
    4,777.23x = 7,164.46 × 1,657.11
  4. Step 4: Simplify right side
    4,777.23x = 11,872,298.31
  5. Step 5: Solve for x
    x = 11,872,298.31/4,777.23
  6. Step 6: Final answer
    x = 2,485.18

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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.