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Finding the Fourth Proportional to 5,580.41, 7,706.15 and 3,594.38

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Solution

The fourth proportional to 5,580.41, 7,706.15 and 3,594.38 is: 4,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.41 : 7,706.15 = 3,594.38 : x
  2. Step 2: Convert to fraction form
    5,580.41/7,706.15 = 3,594.38/x
  3. Step 3: Cross multiply
    5,580.41x = 7,706.15 × 3,594.38
  4. Step 4: Simplify right side
    5,580.41x = 27,698,840.42
  5. Step 5: Solve for x
    x = 27,698,840.42/5,580.41
  6. Step 6: Final answer
    x = 4,963.59

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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.