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Finding the Fourth Proportional to 4,585.06, 6,873 and 1,662.58

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Solution

The fourth proportional to 4,585.06, 6,873 and 1,662.58 is: 2,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.06 : 6,873 = 1,662.58 : x
  2. Step 2: Convert to fraction form
    4,585.06/6,873 = 1,662.58/x
  3. Step 3: Cross multiply
    4,585.06x = 6,873 × 1,662.58
  4. Step 4: Simplify right side
    4,585.06x = 11,426,912.34
  5. Step 5: Solve for x
    x = 11,426,912.34/4,585.06
  6. Step 6: Final answer
    x = 2,492.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.