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Finding the Fourth Proportional to 4,724.29, 7,086.30 and 1,437.40

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Solution

The fourth proportional to 4,724.29, 7,086.30 and 1,437.40 is: 2,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.29 : 7,086.30 = 1,437.40 : x
  2. Step 2: Convert to fraction form
    4,724.29/7,086.30 = 1,437.40/x
  3. Step 3: Cross multiply
    4,724.29x = 7,086.30 × 1,437.40
  4. Step 4: Simplify right side
    4,724.29x = 10,185,847.62
  5. Step 5: Solve for x
    x = 10,185,847.62/4,724.29
  6. Step 6: Final answer
    x = 2,156.06

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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.