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Finding the Fourth Proportional to 4,582.04, 6,872.58 and 1,620

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Solution

The fourth proportional to 4,582.04, 6,872.58 and 1,620 is: 2,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.04 : 6,872.58 = 1,620 : x
  2. Step 2: Convert to fraction form
    4,582.04/6,872.58 = 1,620/x
  3. Step 3: Cross multiply
    4,582.04x = 6,872.58 × 1,620
  4. Step 4: Simplify right side
    4,582.04x = 11,133,579.60
  5. Step 5: Solve for x
    x = 11,133,579.60/4,582.04
  6. Step 6: Final answer
    x = 2,429.83

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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.