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Finding the Fourth Proportional to 6,430.50, 8,874.23 and 3,636

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Solution

The fourth proportional to 6,430.50, 8,874.23 and 3,636 is: 5,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.50 : 8,874.23 = 3,636 : x
  2. Step 2: Convert to fraction form
    6,430.50/8,874.23 = 3,636/x
  3. Step 3: Cross multiply
    6,430.50x = 8,874.23 × 3,636
  4. Step 4: Simplify right side
    6,430.50x = 32,266,682.10
  5. Step 5: Solve for x
    x = 32,266,682.10/6,430.50
  6. Step 6: Final answer
    x = 5,017.76

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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.