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Finding the Fourth Proportional to 3,538.94, 5,306.95 and 1,537.76

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Solution

The fourth proportional to 3,538.94, 5,306.95 and 1,537.76 is: 2,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.94 : 5,306.95 = 1,537.76 : x
  2. Step 2: Convert to fraction form
    3,538.94/5,306.95 = 1,537.76/x
  3. Step 3: Cross multiply
    3,538.94x = 5,306.95 × 1,537.76
  4. Step 4: Simplify right side
    3,538.94x = 8,160,815.43
  5. Step 5: Solve for x
    x = 8,160,815.43/3,538.94
  6. Step 6: Final answer
    x = 2,306.01

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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.