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Finding the Fourth Proportional to 5,529.57, 7,630.76 and 3,140

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Solution

The fourth proportional to 5,529.57, 7,630.76 and 3,140 is: 4,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,529.57 : 7,630.76 = 3,140 : x
  2. Step 2: Convert to fraction form
    5,529.57/7,630.76 = 3,140/x
  3. Step 3: Cross multiply
    5,529.57x = 7,630.76 × 3,140
  4. Step 4: Simplify right side
    5,529.57x = 23,960,586.40
  5. Step 5: Solve for x
    x = 23,960,586.40/5,529.57
  6. Step 6: Final answer
    x = 4,333.17

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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.