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Finding the Fourth Proportional to 4,255.30, 6,382.95 and 4,085.20

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Solution

The fourth proportional to 4,255.30, 6,382.95 and 4,085.20 is: 6,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.30 : 6,382.95 = 4,085.20 : x
  2. Step 2: Convert to fraction form
    4,255.30/6,382.95 = 4,085.20/x
  3. Step 3: Cross multiply
    4,255.30x = 6,382.95 × 4,085.20
  4. Step 4: Simplify right side
    4,255.30x = 26,075,627.34
  5. Step 5: Solve for x
    x = 26,075,627.34/4,255.30
  6. Step 6: Final answer
    x = 6,127.80

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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.