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Finding the Fourth Proportional to 4,534.55, 6,799.05 and 4,147.81

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Solution

The fourth proportional to 4,534.55, 6,799.05 and 4,147.81 is: 6,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.55 : 6,799.05 = 4,147.81 : x
  2. Step 2: Convert to fraction form
    4,534.55/6,799.05 = 4,147.81/x
  3. Step 3: Cross multiply
    4,534.55x = 6,799.05 × 4,147.81
  4. Step 4: Simplify right side
    4,534.55x = 28,201,167.58
  5. Step 5: Solve for x
    x = 28,201,167.58/4,534.55
  6. Step 6: Final answer
    x = 6,219.18

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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.