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Finding the Fourth Proportional to 5,796.76, 7,999.56 and 4,468

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Solution

The fourth proportional to 5,796.76, 7,999.56 and 4,468 is: 6,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.76 : 7,999.56 = 4,468 : x
  2. Step 2: Convert to fraction form
    5,796.76/7,999.56 = 4,468/x
  3. Step 3: Cross multiply
    5,796.76x = 7,999.56 × 4,468
  4. Step 4: Simplify right side
    5,796.76x = 35,742,034.08
  5. Step 5: Solve for x
    x = 35,742,034.08/5,796.76
  6. Step 6: Final answer
    x = 6,165.86

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1.5x scale

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.