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Finding the Fourth Proportional to 5,205.24, 7,188.68 and 4,495.68

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Solution

The fourth proportional to 5,205.24, 7,188.68 and 4,495.68 is: 6,208.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.24 : 7,188.68 = 4,495.68 : x
  2. Step 2: Convert to fraction form
    5,205.24/7,188.68 = 4,495.68/x
  3. Step 3: Cross multiply
    5,205.24x = 7,188.68 × 4,495.68
  4. Step 4: Simplify right side
    5,205.24x = 32,318,004.90
  5. Step 5: Solve for x
    x = 32,318,004.90/5,205.24
  6. Step 6: Final answer
    x = 6,208.74

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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.