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Finding the Fourth Proportional to 4,534.88, 6,805.35 and 1,938.42

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Solution

The fourth proportional to 4,534.88, 6,805.35 and 1,938.42 is: 2,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.88 : 6,805.35 = 1,938.42 : x
  2. Step 2: Convert to fraction form
    4,534.88/6,805.35 = 1,938.42/x
  3. Step 3: Cross multiply
    4,534.88x = 6,805.35 × 1,938.42
  4. Step 4: Simplify right side
    4,534.88x = 13,191,626.55
  5. Step 5: Solve for x
    x = 13,191,626.55/4,534.88
  6. Step 6: Final answer
    x = 2,908.93

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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.