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Finding the Fourth Proportional to 4,724.44, 7,086.95 and 1,437.77

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Solution

The fourth proportional to 4,724.44, 7,086.95 and 1,437.77 is: 2,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.44 : 7,086.95 = 1,437.77 : x
  2. Step 2: Convert to fraction form
    4,724.44/7,086.95 = 1,437.77/x
  3. Step 3: Cross multiply
    4,724.44x = 7,086.95 × 1,437.77
  4. Step 4: Simplify right side
    4,724.44x = 10,189,420.02
  5. Step 5: Solve for x
    x = 10,189,420.02/4,724.44
  6. Step 6: Final answer
    x = 2,156.75

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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.