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Finding the Fourth Proportional to 4,701.54, 7,047.92 and 1,777.88

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Solution

The fourth proportional to 4,701.54, 7,047.92 and 1,777.88 is: 2,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.54 : 7,047.92 = 1,777.88 : x
  2. Step 2: Convert to fraction form
    4,701.54/7,047.92 = 1,777.88/x
  3. Step 3: Cross multiply
    4,701.54x = 7,047.92 × 1,777.88
  4. Step 4: Simplify right side
    4,701.54x = 12,530,356.01
  5. Step 5: Solve for x
    x = 12,530,356.01/4,701.54
  6. Step 6: Final answer
    x = 2,665.16

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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.