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Finding the Fourth Proportional to 3,548.68, 4,897.20 and 1,976.80

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Solution

The fourth proportional to 3,548.68, 4,897.20 and 1,976.80 is: 2,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.68 : 4,897.20 = 1,976.80 : x
  2. Step 2: Convert to fraction form
    3,548.68/4,897.20 = 1,976.80/x
  3. Step 3: Cross multiply
    3,548.68x = 4,897.20 × 1,976.80
  4. Step 4: Simplify right side
    3,548.68x = 9,680,784.96
  5. Step 5: Solve for x
    x = 9,680,784.96/3,548.68
  6. Step 6: Final answer
    x = 2,728.00

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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.