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Finding the Fourth Proportional to 5,294.44, 7,305.24 and 3,055.78

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Solution

The fourth proportional to 5,294.44, 7,305.24 and 3,055.78 is: 4,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.44 : 7,305.24 = 3,055.78 : x
  2. Step 2: Convert to fraction form
    5,294.44/7,305.24 = 3,055.78/x
  3. Step 3: Cross multiply
    5,294.44x = 7,305.24 × 3,055.78
  4. Step 4: Simplify right side
    5,294.44x = 22,323,206.29
  5. Step 5: Solve for x
    x = 22,323,206.29/5,294.44
  6. Step 6: Final answer
    x = 4,216.35

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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.