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Finding the Fourth Proportional to 4,659.98, 6,989.80 and 1,150.01

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Solution

The fourth proportional to 4,659.98, 6,989.80 and 1,150.01 is: 1,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.98 : 6,989.80 = 1,150.01 : x
  2. Step 2: Convert to fraction form
    4,659.98/6,989.80 = 1,150.01/x
  3. Step 3: Cross multiply
    4,659.98x = 6,989.80 × 1,150.01
  4. Step 4: Simplify right side
    4,659.98x = 8,038,339.90
  5. Step 5: Solve for x
    x = 8,038,339.90/4,659.98
  6. Step 6: Final answer
    x = 1,724.97

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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.