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Finding the Fourth Proportional to 5,429.70, 7,491.69 and 3,071.70

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Solution

The fourth proportional to 5,429.70, 7,491.69 and 3,071.70 is: 4,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.70 : 7,491.69 = 3,071.70 : x
  2. Step 2: Convert to fraction form
    5,429.70/7,491.69 = 3,071.70/x
  3. Step 3: Cross multiply
    5,429.70x = 7,491.69 × 3,071.70
  4. Step 4: Simplify right side
    5,429.70x = 23,012,224.17
  5. Step 5: Solve for x
    x = 23,012,224.17/5,429.70
  6. Step 6: Final answer
    x = 4,238.21

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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.