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Finding the Fourth Proportional to 5,323.83, 7,346.70 and 3,085.49

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Solution

The fourth proportional to 5,323.83, 7,346.70 and 3,085.49 is: 4,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.83 : 7,346.70 = 3,085.49 : x
  2. Step 2: Convert to fraction form
    5,323.83/7,346.70 = 3,085.49/x
  3. Step 3: Cross multiply
    5,323.83x = 7,346.70 × 3,085.49
  4. Step 4: Simplify right side
    5,323.83x = 22,668,187.75
  5. Step 5: Solve for x
    x = 22,668,187.75/5,323.83
  6. Step 6: Final answer
    x = 4,257.88

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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.