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Finding the Fourth Proportional to 5,581.41, 7,702.34 and 3,485.53

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Solution

The fourth proportional to 5,581.41, 7,702.34 and 3,485.53 is: 4,810.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.41 : 7,702.34 = 3,485.53 : x
  2. Step 2: Convert to fraction form
    5,581.41/7,702.34 = 3,485.53/x
  3. Step 3: Cross multiply
    5,581.41x = 7,702.34 × 3,485.53
  4. Step 4: Simplify right side
    5,581.41x = 26,846,748.95
  5. Step 5: Solve for x
    x = 26,846,748.95/5,581.41
  6. Step 6: Final answer
    x = 4,810.03

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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.