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Finding the Fourth Proportional to 6,430.45, 8,877.89 and 4,196.20

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Solution

The fourth proportional to 6,430.45, 8,877.89 and 4,196.20 is: 5,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.45 : 8,877.89 = 4,196.20 : x
  2. Step 2: Convert to fraction form
    6,430.45/8,877.89 = 4,196.20/x
  3. Step 3: Cross multiply
    6,430.45x = 8,877.89 × 4,196.20
  4. Step 4: Simplify right side
    6,430.45x = 37,253,402.02
  5. Step 5: Solve for x
    x = 37,253,402.02/6,430.45
  6. Step 6: Final answer
    x = 5,793.28

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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.