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Finding the Fourth Proportional to 4,115.77, 5,680.23 and 2,347.63

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Solution

The fourth proportional to 4,115.77, 5,680.23 and 2,347.63 is: 3,240.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.77 : 5,680.23 = 2,347.63 : x
  2. Step 2: Convert to fraction form
    4,115.77/5,680.23 = 2,347.63/x
  3. Step 3: Cross multiply
    4,115.77x = 5,680.23 × 2,347.63
  4. Step 4: Simplify right side
    4,115.77x = 13,335,078.35
  5. Step 5: Solve for x
    x = 13,335,078.35/4,115.77
  6. Step 6: Final answer
    x = 3,240.00

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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.