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Finding the Fourth Proportional to 4,376.43, 5,991.14 and 4,345.16

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Solution

The fourth proportional to 4,376.43, 5,991.14 and 4,345.16 is: 5,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.43 : 5,991.14 = 4,345.16 : x
  2. Step 2: Convert to fraction form
    4,376.43/5,991.14 = 4,345.16/x
  3. Step 3: Cross multiply
    4,376.43x = 5,991.14 × 4,345.16
  4. Step 4: Simplify right side
    4,376.43x = 26,032,476.49
  5. Step 5: Solve for x
    x = 26,032,476.49/4,376.43
  6. Step 6: Final answer
    x = 5,948.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.