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Finding the Fourth Proportional to 4,115.88, 5,680.04 and 2,347.45

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Solution

The fourth proportional to 4,115.88, 5,680.04 and 2,347.45 is: 3,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.88 : 5,680.04 = 2,347.45 : x
  2. Step 2: Convert to fraction form
    4,115.88/5,680.04 = 2,347.45/x
  3. Step 3: Cross multiply
    4,115.88x = 5,680.04 × 2,347.45
  4. Step 4: Simplify right side
    4,115.88x = 13,333,583.96
  5. Step 5: Solve for x
    x = 13,333,583.96/4,115.88
  6. Step 6: Final answer
    x = 3,239.55

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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.