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Finding the Fourth Proportional to 4,295.30, 6,442.92 and 4,085.37

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Solution

The fourth proportional to 4,295.30, 6,442.92 and 4,085.37 is: 6,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.30 : 6,442.92 = 4,085.37 : x
  2. Step 2: Convert to fraction form
    4,295.30/6,442.92 = 4,085.37/x
  3. Step 3: Cross multiply
    4,295.30x = 6,442.92 × 4,085.37
  4. Step 4: Simplify right side
    4,295.30x = 26,321,712.08
  5. Step 5: Solve for x
    x = 26,321,712.08/4,295.30
  6. Step 6: Final answer
    x = 6,128.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.