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Finding the Fourth Proportional to 3,585.98, 4,948.15 and 1,992.51

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Solution

The fourth proportional to 3,585.98, 4,948.15 and 1,992.51 is: 2,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.98 : 4,948.15 = 1,992.51 : x
  2. Step 2: Convert to fraction form
    3,585.98/4,948.15 = 1,992.51/x
  3. Step 3: Cross multiply
    3,585.98x = 4,948.15 × 1,992.51
  4. Step 4: Simplify right side
    3,585.98x = 9,859,238.36
  5. Step 5: Solve for x
    x = 9,859,238.36/3,585.98
  6. Step 6: Final answer
    x = 2,749.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.