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Finding the Fourth Proportional to 5,456, 7,529.30 and 3,098.51

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Solution

The fourth proportional to 5,456, 7,529.30 and 3,098.51 is: 4,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456 : 7,529.30 = 3,098.51 : x
  2. Step 2: Convert to fraction form
    5,456/7,529.30 = 3,098.51/x
  3. Step 3: Cross multiply
    5,456x = 7,529.30 × 3,098.51
  4. Step 4: Simplify right side
    5,456x = 23,329,611.34
  5. Step 5: Solve for x
    x = 23,329,611.34/5,456
  6. Step 6: Final answer
    x = 4,275.96

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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.