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Finding the Fourth Proportional to 3,471.70, 4,793.18 and 3,098.04

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Solution

The fourth proportional to 3,471.70, 4,793.18 and 3,098.04 is: 4,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.70 : 4,793.18 = 3,098.04 : x
  2. Step 2: Convert to fraction form
    3,471.70/4,793.18 = 3,098.04/x
  3. Step 3: Cross multiply
    3,471.70x = 4,793.18 × 3,098.04
  4. Step 4: Simplify right side
    3,471.70x = 14,849,457.63
  5. Step 5: Solve for x
    x = 14,849,457.63/3,471.70
  6. Step 6: Final answer
    x = 4,277.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.