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Finding the Fourth Proportional to 4,289.57, 6,445.89 and 4,009.31

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Solution

The fourth proportional to 4,289.57, 6,445.89 and 4,009.31 is: 6,024.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.57 : 6,445.89 = 4,009.31 : x
  2. Step 2: Convert to fraction form
    4,289.57/6,445.89 = 4,009.31/x
  3. Step 3: Cross multiply
    4,289.57x = 6,445.89 × 4,009.31
  4. Step 4: Simplify right side
    4,289.57x = 25,843,539.01
  5. Step 5: Solve for x
    x = 25,843,539.01/4,289.57
  6. Step 6: Final answer
    x = 6,024.75

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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.