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Finding the Fourth Proportional to 5,978.34, 8,966.70 and 2,372.22

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Solution

The fourth proportional to 5,978.34, 8,966.70 and 2,372.22 is: 3,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.34 : 8,966.70 = 2,372.22 : x
  2. Step 2: Convert to fraction form
    5,978.34/8,966.70 = 2,372.22/x
  3. Step 3: Cross multiply
    5,978.34x = 8,966.70 × 2,372.22
  4. Step 4: Simplify right side
    5,978.34x = 21,270,985.07
  5. Step 5: Solve for x
    x = 21,270,985.07/5,978.34
  6. Step 6: Final answer
    x = 3,558.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.