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Finding the Fourth Proportional to 4,594.37, 6,889.51 and 2,129.90

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Solution

The fourth proportional to 4,594.37, 6,889.51 and 2,129.90 is: 3,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.37 : 6,889.51 = 2,129.90 : x
  2. Step 2: Convert to fraction form
    4,594.37/6,889.51 = 2,129.90/x
  3. Step 3: Cross multiply
    4,594.37x = 6,889.51 × 2,129.90
  4. Step 4: Simplify right side
    4,594.37x = 14,673,923.58
  5. Step 5: Solve for x
    x = 14,673,923.58/4,594.37
  6. Step 6: Final answer
    x = 3,193.89

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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.