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Finding the Fourth Proportional to 5,000.56, 6,903.72 and 3,430.96

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Solution

The fourth proportional to 5,000.56, 6,903.72 and 3,430.96 is: 4,736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.56 : 6,903.72 = 3,430.96 : x
  2. Step 2: Convert to fraction form
    5,000.56/6,903.72 = 3,430.96/x
  3. Step 3: Cross multiply
    5,000.56x = 6,903.72 × 3,430.96
  4. Step 4: Simplify right side
    5,000.56x = 23,686,387.17
  5. Step 5: Solve for x
    x = 23,686,387.17/5,000.56
  6. Step 6: Final answer
    x = 4,736.75

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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.