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Finding the Fourth Proportional to 3,538.40, 5,307.89 and 3,490.43

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Solution

The fourth proportional to 3,538.40, 5,307.89 and 3,490.43 is: 5,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.40 : 5,307.89 = 3,490.43 : x
  2. Step 2: Convert to fraction form
    3,538.40/5,307.89 = 3,490.43/x
  3. Step 3: Cross multiply
    3,538.40x = 5,307.89 × 3,490.43
  4. Step 4: Simplify right side
    3,538.40x = 18,526,774.50
  5. Step 5: Solve for x
    x = 18,526,774.50/3,538.40
  6. Step 6: Final answer
    x = 5,235.93

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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.