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Finding the Fourth Proportional to 4,543.56, 6,815.95 and 4,462.16

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Solution

The fourth proportional to 4,543.56, 6,815.95 and 4,462.16 is: 6,693.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,543.56 : 6,815.95 = 4,462.16 : x
  2. Step 2: Convert to fraction form
    4,543.56/6,815.95 = 4,462.16/x
  3. Step 3: Cross multiply
    4,543.56x = 6,815.95 × 4,462.16
  4. Step 4: Simplify right side
    4,543.56x = 30,413,814.22
  5. Step 5: Solve for x
    x = 30,413,814.22/4,543.56
  6. Step 6: Final answer
    x = 6,693.83

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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.