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Finding the Fourth Proportional to 4,594.64, 6,889.79 and 3,209.54

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Solution

The fourth proportional to 4,594.64, 6,889.79 and 3,209.54 is: 4,812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.64 : 6,889.79 = 3,209.54 : x
  2. Step 2: Convert to fraction form
    4,594.64/6,889.79 = 3,209.54/x
  3. Step 3: Cross multiply
    4,594.64x = 6,889.79 × 3,209.54
  4. Step 4: Simplify right side
    4,594.64x = 22,113,030.17
  5. Step 5: Solve for x
    x = 22,113,030.17/4,594.64
  6. Step 6: Final answer
    x = 4,812.79

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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.