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Finding the Fourth Proportional to 4,955.21, 7,381.18 and 4,692.25

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Solution

The fourth proportional to 4,955.21, 7,381.18 and 4,692.25 is: 6,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,955.21 : 7,381.18 = 4,692.25 : x
  2. Step 2: Convert to fraction form
    4,955.21/7,381.18 = 4,692.25/x
  3. Step 3: Cross multiply
    4,955.21x = 7,381.18 × 4,692.25
  4. Step 4: Simplify right side
    4,955.21x = 34,634,318.39
  5. Step 5: Solve for x
    x = 34,634,318.39/4,955.21
  6. Step 6: Final answer
    x = 6,989.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.