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Finding the Fourth Proportional to 5,774.32, 8,662.76 and 1,670

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Solution

The fourth proportional to 5,774.32, 8,662.76 and 1,670 is: 2,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.32 : 8,662.76 = 1,670 : x
  2. Step 2: Convert to fraction form
    5,774.32/8,662.76 = 1,670/x
  3. Step 3: Cross multiply
    5,774.32x = 8,662.76 × 1,670
  4. Step 4: Simplify right side
    5,774.32x = 14,466,809.20
  5. Step 5: Solve for x
    x = 14,466,809.20/5,774.32
  6. Step 6: Final answer
    x = 2,505.37

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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.