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Finding the Fourth Proportional to 3,482.77, 5,211.68 and 3,015.86

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Solution

The fourth proportional to 3,482.77, 5,211.68 and 3,015.86 is: 4,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.77 : 5,211.68 = 3,015.86 : x
  2. Step 2: Convert to fraction form
    3,482.77/5,211.68 = 3,015.86/x
  3. Step 3: Cross multiply
    3,482.77x = 5,211.68 × 3,015.86
  4. Step 4: Simplify right side
    3,482.77x = 15,717,697.24
  5. Step 5: Solve for x
    x = 15,717,697.24/3,482.77
  6. Step 6: Final answer
    x = 4,512.99

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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.