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Finding the Fourth Proportional to 4,155.68, 5,736.95 and 3,209.34

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Solution

The fourth proportional to 4,155.68, 5,736.95 and 3,209.34 is: 4,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.68 : 5,736.95 = 3,209.34 : x
  2. Step 2: Convert to fraction form
    4,155.68/5,736.95 = 3,209.34/x
  3. Step 3: Cross multiply
    4,155.68x = 5,736.95 × 3,209.34
  4. Step 4: Simplify right side
    4,155.68x = 18,411,840.61
  5. Step 5: Solve for x
    x = 18,411,840.61/4,155.68
  6. Step 6: Final answer
    x = 4,430.53

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