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Finding the Fourth Proportional to 6,225.96, 8,580.02 and 4,454.49

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Solution

The fourth proportional to 6,225.96, 8,580.02 and 4,454.49 is: 6,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.96 : 8,580.02 = 4,454.49 : x
  2. Step 2: Convert to fraction form
    6,225.96/8,580.02 = 4,454.49/x
  3. Step 3: Cross multiply
    6,225.96x = 8,580.02 × 4,454.49
  4. Step 4: Simplify right side
    6,225.96x = 38,219,591.02
  5. Step 5: Solve for x
    x = 38,219,591.02/6,225.96
  6. Step 6: Final answer
    x = 6,138.75

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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.