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Finding the Fourth Proportional to 4,609.63, 6,356.26 and 3,114.95

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Solution

The fourth proportional to 4,609.63, 6,356.26 and 3,114.95 is: 4,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.63 : 6,356.26 = 3,114.95 : x
  2. Step 2: Convert to fraction form
    4,609.63/6,356.26 = 3,114.95/x
  3. Step 3: Cross multiply
    4,609.63x = 6,356.26 × 3,114.95
  4. Step 4: Simplify right side
    4,609.63x = 19,799,432.09
  5. Step 5: Solve for x
    x = 19,799,432.09/4,609.63
  6. Step 6: Final answer
    x = 4,295.23

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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.