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Finding the Fourth Proportional to 8,394.89, 12,598.05 and 3,464.51

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Solution

The fourth proportional to 8,394.89, 12,598.05 and 3,464.51 is: 5,199.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.89 : 12,598.05 = 3,464.51 : x
  2. Step 2: Convert to fraction form
    8,394.89/12,598.05 = 3,464.51/x
  3. Step 3: Cross multiply
    8,394.89x = 12,598.05 × 3,464.51
  4. Step 4: Simplify right side
    8,394.89x = 43,646,070.21
  5. Step 5: Solve for x
    x = 43,646,070.21/8,394.89
  6. Step 6: Final answer
    x = 5,199.12

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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.