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Finding the Fourth Proportional to 4,712.56, 7,057.90 and 4,548.54

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Solution

The fourth proportional to 4,712.56, 7,057.90 and 4,548.54 is: 6,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.56 : 7,057.90 = 4,548.54 : x
  2. Step 2: Convert to fraction form
    4,712.56/7,057.90 = 4,548.54/x
  3. Step 3: Cross multiply
    4,712.56x = 7,057.90 × 4,548.54
  4. Step 4: Simplify right side
    4,712.56x = 32,103,140.47
  5. Step 5: Solve for x
    x = 32,103,140.47/4,712.56
  6. Step 6: Final answer
    x = 6,812.25

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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.