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Finding the Fourth Proportional to 5,952.34, 8,212.71 and 3,715.30

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Solution

The fourth proportional to 5,952.34, 8,212.71 and 3,715.30 is: 5,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.34 : 8,212.71 = 3,715.30 : x
  2. Step 2: Convert to fraction form
    5,952.34/8,212.71 = 3,715.30/x
  3. Step 3: Cross multiply
    5,952.34x = 8,212.71 × 3,715.30
  4. Step 4: Simplify right side
    5,952.34x = 30,512,681.46
  5. Step 5: Solve for x
    x = 30,512,681.46/5,952.34
  6. Step 6: Final answer
    x = 5,126.17

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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.