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Finding the Fourth Proportional to 3,245.76, 4,870.08 and 2,412

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Solution

The fourth proportional to 3,245.76, 4,870.08 and 2,412 is: 3,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.76 : 4,870.08 = 2,412 : x
  2. Step 2: Convert to fraction form
    3,245.76/4,870.08 = 2,412/x
  3. Step 3: Cross multiply
    3,245.76x = 4,870.08 × 2,412
  4. Step 4: Simplify right side
    3,245.76x = 11,746,632.96
  5. Step 5: Solve for x
    x = 11,746,632.96/3,245.76
  6. Step 6: Final answer
    x = 3,619.07

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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.