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Finding the Fourth Proportional to 4,669.12, 7,003.53 and 1,894.97

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Solution

The fourth proportional to 4,669.12, 7,003.53 and 1,894.97 is: 2,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.12 : 7,003.53 = 1,894.97 : x
  2. Step 2: Convert to fraction form
    4,669.12/7,003.53 = 1,894.97/x
  3. Step 3: Cross multiply
    4,669.12x = 7,003.53 × 1,894.97
  4. Step 4: Simplify right side
    4,669.12x = 13,271,479.24
  5. Step 5: Solve for x
    x = 13,271,479.24/4,669.12
  6. Step 6: Final answer
    x = 2,842.39

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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.