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Finding the Fourth Proportional to 3,284.02, 4,926.84 and 3,014.02

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Solution

The fourth proportional to 3,284.02, 4,926.84 and 3,014.02 is: 4,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.02 : 4,926.84 = 3,014.02 : x
  2. Step 2: Convert to fraction form
    3,284.02/4,926.84 = 3,014.02/x
  3. Step 3: Cross multiply
    3,284.02x = 4,926.84 × 3,014.02
  4. Step 4: Simplify right side
    3,284.02x = 14,849,594.30
  5. Step 5: Solve for x
    x = 14,849,594.30/3,284.02
  6. Step 6: Final answer
    x = 4,521.77

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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.