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Finding the Fourth Proportional to 4,573.40, 6,306.87 and 3,865.26

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Solution

The fourth proportional to 4,573.40, 6,306.87 and 3,865.26 is: 5,330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.40 : 6,306.87 = 3,865.26 : x
  2. Step 2: Convert to fraction form
    4,573.40/6,306.87 = 3,865.26/x
  3. Step 3: Cross multiply
    4,573.40x = 6,306.87 × 3,865.26
  4. Step 4: Simplify right side
    4,573.40x = 24,377,692.34
  5. Step 5: Solve for x
    x = 24,377,692.34/4,573.40
  6. Step 6: Final answer
    x = 5,330.32

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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.