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Finding the Fourth Proportional to 5,599.64, 7,717.74 and 4,104.38

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Solution

The fourth proportional to 5,599.64, 7,717.74 and 4,104.38 is: 5,656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,599.64 : 7,717.74 = 4,104.38 : x
  2. Step 2: Convert to fraction form
    5,599.64/7,717.74 = 4,104.38/x
  3. Step 3: Cross multiply
    5,599.64x = 7,717.74 × 4,104.38
  4. Step 4: Simplify right side
    5,599.64x = 31,676,537.70
  5. Step 5: Solve for x
    x = 31,676,537.70/5,599.64
  6. Step 6: Final answer
    x = 5,656.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.