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Finding the Fourth Proportional to 3,215.04, 4,823.04 and 1,023.96

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Solution

The fourth proportional to 3,215.04, 4,823.04 and 1,023.96 is: 1,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.04 : 4,823.04 = 1,023.96 : x
  2. Step 2: Convert to fraction form
    3,215.04/4,823.04 = 1,023.96/x
  3. Step 3: Cross multiply
    3,215.04x = 4,823.04 × 1,023.96
  4. Step 4: Simplify right side
    3,215.04x = 4,938,600.04
  5. Step 5: Solve for x
    x = 4,938,600.04/3,215.04
  6. Step 6: Final answer
    x = 1,536.09

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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.