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Finding the Fourth Proportional to 3,456.56, 5,184.72 and 1,148

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Solution

The fourth proportional to 3,456.56, 5,184.72 and 1,148 is: 1,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.56 : 5,184.72 = 1,148 : x
  2. Step 2: Convert to fraction form
    3,456.56/5,184.72 = 1,148/x
  3. Step 3: Cross multiply
    3,456.56x = 5,184.72 × 1,148
  4. Step 4: Simplify right side
    3,456.56x = 5,952,058.56
  5. Step 5: Solve for x
    x = 5,952,058.56/3,456.56
  6. Step 6: Final answer
    x = 1,721.96

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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.