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Finding the Fourth Proportional to 4,997.70, 7,501.35 and 4,268.10

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Solution

The fourth proportional to 4,997.70, 7,501.35 and 4,268.10 is: 6,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.70 : 7,501.35 = 4,268.10 : x
  2. Step 2: Convert to fraction form
    4,997.70/7,501.35 = 4,268.10/x
  3. Step 3: Cross multiply
    4,997.70x = 7,501.35 × 4,268.10
  4. Step 4: Simplify right side
    4,997.70x = 32,016,511.94
  5. Step 5: Solve for x
    x = 32,016,511.94/4,997.70
  6. Step 6: Final answer
    x = 6,406.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.