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Finding the Fourth Proportional to 5,574.02, 7,692.02 and 3,056

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Solution

The fourth proportional to 5,574.02, 7,692.02 and 3,056 is: 4,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.02 : 7,692.02 = 3,056 : x
  2. Step 2: Convert to fraction form
    5,574.02/7,692.02 = 3,056/x
  3. Step 3: Cross multiply
    5,574.02x = 7,692.02 × 3,056
  4. Step 4: Simplify right side
    5,574.02x = 23,506,813.12
  5. Step 5: Solve for x
    x = 23,506,813.12/5,574.02
  6. Step 6: Final answer
    x = 4,217.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.