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Finding the Fourth Proportional to 5,446.60, 8,187.90 and 4,733.80

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Solution

The fourth proportional to 5,446.60, 8,187.90 and 4,733.80 is: 7,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.60 : 8,187.90 = 4,733.80 : x
  2. Step 2: Convert to fraction form
    5,446.60/8,187.90 = 4,733.80/x
  3. Step 3: Cross multiply
    5,446.60x = 8,187.90 × 4,733.80
  4. Step 4: Simplify right side
    5,446.60x = 38,759,881.02
  5. Step 5: Solve for x
    x = 38,759,881.02/5,446.60
  6. Step 6: Final answer
    x = 7,116.34

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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.