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Finding the Fourth Proportional to 5,574.47, 7,692.84 and 3,056.54

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Solution

The fourth proportional to 5,574.47, 7,692.84 and 3,056.54 is: 4,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.47 : 7,692.84 = 3,056.54 : x
  2. Step 2: Convert to fraction form
    5,574.47/7,692.84 = 3,056.54/x
  3. Step 3: Cross multiply
    5,574.47x = 7,692.84 × 3,056.54
  4. Step 4: Simplify right side
    5,574.47x = 23,513,434.71
  5. Step 5: Solve for x
    x = 23,513,434.71/5,574.47
  6. Step 6: Final answer
    x = 4,218.06

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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.