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Finding the Fourth Proportional to 5,848.23, 8,072.49 and 4,655.41

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Solution

The fourth proportional to 5,848.23, 8,072.49 and 4,655.41 is: 6,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.23 : 8,072.49 = 4,655.41 : x
  2. Step 2: Convert to fraction form
    5,848.23/8,072.49 = 4,655.41/x
  3. Step 3: Cross multiply
    5,848.23x = 8,072.49 × 4,655.41
  4. Step 4: Simplify right side
    5,848.23x = 37,580,708.67
  5. Step 5: Solve for x
    x = 37,580,708.67/5,848.23
  6. Step 6: Final answer
    x = 6,425.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.