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Finding the Fourth Proportional to 5,106.56, 7,654.50 and 3,463.20

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Solution

The fourth proportional to 5,106.56, 7,654.50 and 3,463.20 is: 5,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.56 : 7,654.50 = 3,463.20 : x
  2. Step 2: Convert to fraction form
    5,106.56/7,654.50 = 3,463.20/x
  3. Step 3: Cross multiply
    5,106.56x = 7,654.50 × 3,463.20
  4. Step 4: Simplify right side
    5,106.56x = 26,509,064.40
  5. Step 5: Solve for x
    x = 26,509,064.40/5,106.56
  6. Step 6: Final answer
    x = 5,191.18

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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.