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Finding the Fourth Proportional to 3,482.64, 5,216.64 and 2,826.72

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Solution

The fourth proportional to 3,482.64, 5,216.64 and 2,826.72 is: 4,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,216.64 = 2,826.72 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,216.64 = 2,826.72/x
  3. Step 3: Cross multiply
    3,482.64x = 5,216.64 × 2,826.72
  4. Step 4: Simplify right side
    3,482.64x = 14,745,980.62
  5. Step 5: Solve for x
    x = 14,745,980.62/3,482.64
  6. Step 6: Final answer
    x = 4,234.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.