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Finding the Fourth Proportional to 5,192.80, 7,784.50 and 1,903.60

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Solution

The fourth proportional to 5,192.80, 7,784.50 and 1,903.60 is: 2,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.80 : 7,784.50 = 1,903.60 : x
  2. Step 2: Convert to fraction form
    5,192.80/7,784.50 = 1,903.60/x
  3. Step 3: Cross multiply
    5,192.80x = 7,784.50 × 1,903.60
  4. Step 4: Simplify right side
    5,192.80x = 14,818,574.20
  5. Step 5: Solve for x
    x = 14,818,574.20/5,192.80
  6. Step 6: Final answer
    x = 2,853.68

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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.