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Finding the Fourth Proportional to 3,482.64, 5,226.12 and 1,536.48

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Solution

The fourth proportional to 3,482.64, 5,226.12 and 1,536.48 is: 2,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,226.12 = 1,536.48 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,226.12 = 1,536.48/x
  3. Step 3: Cross multiply
    3,482.64x = 5,226.12 × 1,536.48
  4. Step 4: Simplify right side
    3,482.64x = 8,029,828.86
  5. Step 5: Solve for x
    x = 8,029,828.86/3,482.64
  6. Step 6: Final answer
    x = 2,305.67

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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.