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Finding the Fourth Proportional to 3,537.46, 5,306.19 and 1,456.93

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Solution

The fourth proportional to 3,537.46, 5,306.19 and 1,456.93 is: 2,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.46 : 5,306.19 = 1,456.93 : x
  2. Step 2: Convert to fraction form
    3,537.46/5,306.19 = 1,456.93/x
  3. Step 3: Cross multiply
    3,537.46x = 5,306.19 × 1,456.93
  4. Step 4: Simplify right side
    3,537.46x = 7,730,747.40
  5. Step 5: Solve for x
    x = 7,730,747.40/3,537.46
  6. Step 6: Final answer
    x = 2,185.40

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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.