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Finding the Fourth Proportional to 5,141.93, 7,095.89 and 3,045.92

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Solution

The fourth proportional to 5,141.93, 7,095.89 and 3,045.92 is: 4,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.93 : 7,095.89 = 3,045.92 : x
  2. Step 2: Convert to fraction form
    5,141.93/7,095.89 = 3,045.92/x
  3. Step 3: Cross multiply
    5,141.93x = 7,095.89 × 3,045.92
  4. Step 4: Simplify right side
    5,141.93x = 21,613,513.27
  5. Step 5: Solve for x
    x = 21,613,513.27/5,141.93
  6. Step 6: Final answer
    x = 4,203.39

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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.