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Finding the Fourth Proportional to 5,223.66, 7,206.36 and 3,126.57

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Solution

The fourth proportional to 5,223.66, 7,206.36 and 3,126.57 is: 4,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.66 : 7,206.36 = 3,126.57 : x
  2. Step 2: Convert to fraction form
    5,223.66/7,206.36 = 3,126.57/x
  3. Step 3: Cross multiply
    5,223.66x = 7,206.36 × 3,126.57
  4. Step 4: Simplify right side
    5,223.66x = 22,531,188.99
  5. Step 5: Solve for x
    x = 22,531,188.99/5,223.66
  6. Step 6: Final answer
    x = 4,313.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.