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Finding the Fourth Proportional to 5,293.40, 7,305.85 and 3,054.97

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Solution

The fourth proportional to 5,293.40, 7,305.85 and 3,054.97 is: 4,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.40 : 7,305.85 = 3,054.97 : x
  2. Step 2: Convert to fraction form
    5,293.40/7,305.85 = 3,054.97/x
  3. Step 3: Cross multiply
    5,293.40x = 7,305.85 × 3,054.97
  4. Step 4: Simplify right side
    5,293.40x = 22,319,152.57
  5. Step 5: Solve for x
    x = 22,319,152.57/5,293.40
  6. Step 6: Final answer
    x = 4,216.41

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