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Finding the Fourth Proportional to 6,295.77, 8,688.15 and 3,463.20

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Solution

The fourth proportional to 6,295.77, 8,688.15 and 3,463.20 is: 4,779.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.77 : 8,688.15 = 3,463.20 : x
  2. Step 2: Convert to fraction form
    6,295.77/8,688.15 = 3,463.20/x
  3. Step 3: Cross multiply
    6,295.77x = 8,688.15 × 3,463.20
  4. Step 4: Simplify right side
    6,295.77x = 30,088,801.08
  5. Step 5: Solve for x
    x = 30,088,801.08/6,295.77
  6. Step 6: Final answer
    x = 4,779.21

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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.