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Finding the Fourth Proportional to 4,316.70, 6,474.98 and 1,542.62

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Solution

The fourth proportional to 4,316.70, 6,474.98 and 1,542.62 is: 2,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.70 : 6,474.98 = 1,542.62 : x
  2. Step 2: Convert to fraction form
    4,316.70/6,474.98 = 1,542.62/x
  3. Step 3: Cross multiply
    4,316.70x = 6,474.98 × 1,542.62
  4. Step 4: Simplify right side
    4,316.70x = 9,988,433.65
  5. Step 5: Solve for x
    x = 9,988,433.65/4,316.70
  6. Step 6: Final answer
    x = 2,313.90

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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.