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Finding the Fourth Proportional to 4,987.94, 7,464.56 and 4,099.77

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Solution

The fourth proportional to 4,987.94, 7,464.56 and 4,099.77 is: 6,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.94 : 7,464.56 = 4,099.77 : x
  2. Step 2: Convert to fraction form
    4,987.94/7,464.56 = 4,099.77/x
  3. Step 3: Cross multiply
    4,987.94x = 7,464.56 × 4,099.77
  4. Step 4: Simplify right side
    4,987.94x = 30,602,958.65
  5. Step 5: Solve for x
    x = 30,602,958.65/4,987.94
  6. Step 6: Final answer
    x = 6,135.40

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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.