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Finding the Fourth Proportional to 5,693.34, 8,541.48 and 5,072.88

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Solution

The fourth proportional to 5,693.34, 8,541.48 and 5,072.88 is: 7,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.34 : 8,541.48 = 5,072.88 : x
  2. Step 2: Convert to fraction form
    5,693.34/8,541.48 = 5,072.88/x
  3. Step 3: Cross multiply
    5,693.34x = 8,541.48 × 5,072.88
  4. Step 4: Simplify right side
    5,693.34x = 43,329,903.06
  5. Step 5: Solve for x
    x = 43,329,903.06/5,693.34
  6. Step 6: Final answer
    x = 7,610.63

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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.