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Finding the Fourth Proportional to 3,537.95, 5,306.70 and 1,346.63

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Solution

The fourth proportional to 3,537.95, 5,306.70 and 1,346.63 is: 2,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.95 : 5,306.70 = 1,346.63 : x
  2. Step 2: Convert to fraction form
    3,537.95/5,306.70 = 1,346.63/x
  3. Step 3: Cross multiply
    3,537.95x = 5,306.70 × 1,346.63
  4. Step 4: Simplify right side
    3,537.95x = 7,146,161.42
  5. Step 5: Solve for x
    x = 7,146,161.42/3,537.95
  6. Step 6: Final answer
    x = 2,019.86

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