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Finding the Fourth Proportional to 4,941.76, 7,411.11 and 1,654.09

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Solution

The fourth proportional to 4,941.76, 7,411.11 and 1,654.09 is: 2,480.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.76 : 7,411.11 = 1,654.09 : x
  2. Step 2: Convert to fraction form
    4,941.76/7,411.11 = 1,654.09/x
  3. Step 3: Cross multiply
    4,941.76x = 7,411.11 × 1,654.09
  4. Step 4: Simplify right side
    4,941.76x = 12,258,642.94
  5. Step 5: Solve for x
    x = 12,258,642.94/4,941.76
  6. Step 6: Final answer
    x = 2,480.62

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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.