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Finding the Fourth Proportional to 6,059.76, 9,090.48 and 2,164.80

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Solution

The fourth proportional to 6,059.76, 9,090.48 and 2,164.80 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.76 : 9,090.48 = 2,164.80 : x
  2. Step 2: Convert to fraction form
    6,059.76/9,090.48 = 2,164.80/x
  3. Step 3: Cross multiply
    6,059.76x = 9,090.48 × 2,164.80
  4. Step 4: Simplify right side
    6,059.76x = 19,679,071.10
  5. Step 5: Solve for x
    x = 19,679,071.10/6,059.76
  6. Step 6: Final answer
    x = 3,247.50

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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.