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Finding the Fourth Proportional to 6,059.70, 9,090 and 4,419.45

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Solution

The fourth proportional to 6,059.70, 9,090 and 4,419.45 is: 6,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.70 : 9,090 = 4,419.45 : x
  2. Step 2: Convert to fraction form
    6,059.70/9,090 = 4,419.45/x
  3. Step 3: Cross multiply
    6,059.70x = 9,090 × 4,419.45
  4. Step 4: Simplify right side
    6,059.70x = 40,172,800.50
  5. Step 5: Solve for x
    x = 40,172,800.50/6,059.70
  6. Step 6: Final answer
    x = 6,629.50

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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.