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Finding the Fourth Proportional to 5,152.08, 7,731 and 2,074.32

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Solution

The fourth proportional to 5,152.08, 7,731 and 2,074.32 is: 3,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.08 : 7,731 = 2,074.32 : x
  2. Step 2: Convert to fraction form
    5,152.08/7,731 = 2,074.32/x
  3. Step 3: Cross multiply
    5,152.08x = 7,731 × 2,074.32
  4. Step 4: Simplify right side
    5,152.08x = 16,036,567.92
  5. Step 5: Solve for x
    x = 16,036,567.92/5,152.08
  6. Step 6: Final answer
    x = 3,112.64

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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.