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Finding the Fourth Proportional to 4,594.62, 6,890.43 and 1,820.79

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Solution

The fourth proportional to 4,594.62, 6,890.43 and 1,820.79 is: 2,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.62 : 6,890.43 = 1,820.79 : x
  2. Step 2: Convert to fraction form
    4,594.62/6,890.43 = 1,820.79/x
  3. Step 3: Cross multiply
    4,594.62x = 6,890.43 × 1,820.79
  4. Step 4: Simplify right side
    4,594.62x = 12,546,026.04
  5. Step 5: Solve for x
    x = 12,546,026.04/4,594.62
  6. Step 6: Final answer
    x = 2,730.59

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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.