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Finding the Fourth Proportional to 4,938.56, 7,406.56 and 1,475

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Solution

The fourth proportional to 4,938.56, 7,406.56 and 1,475 is: 2,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.56 : 7,406.56 = 1,475 : x
  2. Step 2: Convert to fraction form
    4,938.56/7,406.56 = 1,475/x
  3. Step 3: Cross multiply
    4,938.56x = 7,406.56 × 1,475
  4. Step 4: Simplify right side
    4,938.56x = 10,924,676
  5. Step 5: Solve for x
    x = 10,924,676/4,938.56
  6. Step 6: Final answer
    x = 2,212.12

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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.