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Finding the Fourth Proportional to 4,458.34, 6,688.26 and 1,647.34

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Solution

The fourth proportional to 4,458.34, 6,688.26 and 1,647.34 is: 2,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.34 : 6,688.26 = 1,647.34 : x
  2. Step 2: Convert to fraction form
    4,458.34/6,688.26 = 1,647.34/x
  3. Step 3: Cross multiply
    4,458.34x = 6,688.26 × 1,647.34
  4. Step 4: Simplify right side
    4,458.34x = 11,017,838.23
  5. Step 5: Solve for x
    x = 11,017,838.23/4,458.34
  6. Step 6: Final answer
    x = 2,471.29

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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.