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Finding the Fourth Proportional to 4,938.50, 6,817.93 and 3,264.77

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Solution

The fourth proportional to 4,938.50, 6,817.93 and 3,264.77 is: 4,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.50 : 6,817.93 = 3,264.77 : x
  2. Step 2: Convert to fraction form
    4,938.50/6,817.93 = 3,264.77/x
  3. Step 3: Cross multiply
    4,938.50x = 6,817.93 × 3,264.77
  4. Step 4: Simplify right side
    4,938.50x = 22,258,973.33
  5. Step 5: Solve for x
    x = 22,258,973.33/4,938.50
  6. Step 6: Final answer
    x = 4,507.23

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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.