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Finding the Fourth Proportional to 5,335.64, 7,363.23 and 2,978

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Solution

The fourth proportional to 5,335.64, 7,363.23 and 2,978 is: 4,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.64 : 7,363.23 = 2,978 : x
  2. Step 2: Convert to fraction form
    5,335.64/7,363.23 = 2,978/x
  3. Step 3: Cross multiply
    5,335.64x = 7,363.23 × 2,978
  4. Step 4: Simplify right side
    5,335.64x = 21,927,698.94
  5. Step 5: Solve for x
    x = 21,927,698.94/5,335.64
  6. Step 6: Final answer
    x = 4,109.67

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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.