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Finding the Fourth Proportional to 4,663.57, 6,427.61 and 3,402.54

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Solution

The fourth proportional to 4,663.57, 6,427.61 and 3,402.54 is: 4,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.57 : 6,427.61 = 3,402.54 : x
  2. Step 2: Convert to fraction form
    4,663.57/6,427.61 = 3,402.54/x
  3. Step 3: Cross multiply
    4,663.57x = 6,427.61 × 3,402.54
  4. Step 4: Simplify right side
    4,663.57x = 21,870,219.98
  5. Step 5: Solve for x
    x = 21,870,219.98/4,663.57
  6. Step 6: Final answer
    x = 4,689.59

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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.