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Finding the Fourth Proportional to 5,434.98, 7,492.95 and 3,542.82

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Solution

The fourth proportional to 5,434.98, 7,492.95 and 3,542.82 is: 4,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.98 : 7,492.95 = 3,542.82 : x
  2. Step 2: Convert to fraction form
    5,434.98/7,492.95 = 3,542.82/x
  3. Step 3: Cross multiply
    5,434.98x = 7,492.95 × 3,542.82
  4. Step 4: Simplify right side
    5,434.98x = 26,546,173.12
  5. Step 5: Solve for x
    x = 26,546,173.12/5,434.98
  6. Step 6: Final answer
    x = 4,884.32

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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.