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Finding the Fourth Proportional to 4,692.40, 7,046.70 and 3,315.40

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Solution

The fourth proportional to 4,692.40, 7,046.70 and 3,315.40 is: 4,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.40 : 7,046.70 = 3,315.40 : x
  2. Step 2: Convert to fraction form
    4,692.40/7,046.70 = 3,315.40/x
  3. Step 3: Cross multiply
    4,692.40x = 7,046.70 × 3,315.40
  4. Step 4: Simplify right side
    4,692.40x = 23,362,629.18
  5. Step 5: Solve for x
    x = 23,362,629.18/4,692.40
  6. Step 6: Final answer
    x = 4,978.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.