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Finding the Fourth Proportional to 5,563.77, 7,677.32 and 4,432.32

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Solution

The fourth proportional to 5,563.77, 7,677.32 and 4,432.32 is: 6,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.77 : 7,677.32 = 4,432.32 : x
  2. Step 2: Convert to fraction form
    5,563.77/7,677.32 = 4,432.32/x
  3. Step 3: Cross multiply
    5,563.77x = 7,677.32 × 4,432.32
  4. Step 4: Simplify right side
    5,563.77x = 34,028,383.01
  5. Step 5: Solve for x
    x = 34,028,383.01/5,563.77
  6. Step 6: Final answer
    x = 6,116.06

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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.