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Finding the Fourth Proportional to 5,259.74, 7,268.89 and 4,314.06

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Solution

The fourth proportional to 5,259.74, 7,268.89 and 4,314.06 is: 5,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.74 : 7,268.89 = 4,314.06 : x
  2. Step 2: Convert to fraction form
    5,259.74/7,268.89 = 4,314.06/x
  3. Step 3: Cross multiply
    5,259.74x = 7,268.89 × 4,314.06
  4. Step 4: Simplify right side
    5,259.74x = 31,358,427.59
  5. Step 5: Solve for x
    x = 31,358,427.59/5,259.74
  6. Step 6: Final answer
    x = 5,961.97

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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.