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Finding the Fourth Proportional to 4,724.67, 7,086.69 and 1,437.80

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Solution

The fourth proportional to 4,724.67, 7,086.69 and 1,437.80 is: 2,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.67 : 7,086.69 = 1,437.80 : x
  2. Step 2: Convert to fraction form
    4,724.67/7,086.69 = 1,437.80/x
  3. Step 3: Cross multiply
    4,724.67x = 7,086.69 × 1,437.80
  4. Step 4: Simplify right side
    4,724.67x = 10,189,207.45
  5. Step 5: Solve for x
    x = 10,189,207.45/4,724.67
  6. Step 6: Final answer
    x = 2,156.60

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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.